Устный счёт – гимнастика ума.

Карточки для устного счёта (1-4 классы)

                                      1класс

КАРТОЧКА №1

1+1                                            8-5                                           2+3

2-1                                             6-2                                           10+2

3+1                                            6+2                                          6+4

4-3                                             8+1                                          12-10

9+1                                            2-1                                           12-2

7-1                                             3-2                                           10-4

2+2                                            5+1                                          6+4

4-2                                             4+1                                          9-8

2+7                                            4-1                                           8+0

7-2                                             6-1                                           4+1

3+3                                            2+3                                          7+1

8-1                                             2+6                                            9-9

3+7                                            5-3                                             3-1

4-4                                             6-2                                             5-4

5+5                                            3+4                                            2+4

10-1                                           3+0                                            6-5

1+0                                             8-7                                            2+8

10-4                                            8-4                                            3+5

0+6                                             10+1                                         4+4

10-8                                            2+0                                           5-2

0+0                                             10-2                                          7-5

8+2                                             10-5                                          9-1

10-2                                            7+0                                           10+3

7+3                                             1+1                                           9-5

6-3                                              10-9                                          10+3

4+4                                             6-4                                            0+3

                                             1 класс

КАРТОЧКА №2

8+0                                               9+2                                              11-2

7-4                                                8+3                                             12-4

2+2                                               6+5                                             13-5

8-3                                                7+4                                             14-6

7+1                                               5+7                                             15-7

9-2                                                9+6                                             16-9

4+4                                               8+4                                             17-8

7-6                                                6+6                                             18-9

6+1                                               8+5                                             19-10

5-1                                                9+3                                             20-1

8+1                                               8+6                                             20-10

7-6                                                7+5                                             11-3

2+5                                               6+7                                             12-5

6-4                                                 9+7                                            13-6

3+6                                                 9+8                                            14-7

9-8                                                  9+9                                            15-8

4+5                                                 9+10                                          16-10

9-4                                                  8+8                                            17-9

5+0                                                 8+7                                            18-8

7-3                                                  7+7                                            11-4

9+1                                                 10+3                                          12-6

7-1                                                  4+10                                          13-7

3+7                                                 2+10                                          14-8

6-5                                                  10+1                                          15-9

4+2                                                 5+10                                          11-5

8-7                                                  10+6                                          12-9

2+0                                                 7+10                                          13-9

6-3                                                10+8                                           18-6

                                                 2 класс

КАРТОЧКА №1

3+4                                            8+2                                                  7+5

5-4                                             13-10                                               6+6

13-3                                           5+3                                                  14-7

8+2                                            3+3                                                  13+6

4+6                                            10-4                                                 18-5

19-10                                         16+1                                                5+12

17-7                                           9-4                                                   13-7

6+3                                            18-8                                                 6+9

7-4                                             15-1                                                 8+6

10+8                                          3+7                                                  7+7

5+4                                            4+10                                                18-3

3+7                                            3+12                                                  3+9

12-2                                           11-1                                                  19-5

5+5                                            17+1                                                 14+3

3+10                                          15-10                                                  18-4

14+1                                          5+6                                                     11+9

2+7                                            18+2                                                   4+16

9-3                                             13-1                                                    13+6

6-4                                             12+1                                                   12-2

15-5                                           12-1                                                    11+8

16-1                                           9+0                                                     19-5

4+4                                            14-4                                                    17-6

6+10                                          14-10                                                  14+6

7-3                                             14-2                                                    16-5

10+6                                          16+1                                                   18-4

6-2                                             8-5                                                      14-2

14-4                                           9-6                                                      15+5

10+9                                          19-1                                                    18+2

                                                    2 класс

КАРТОЧКА №2

13+4                                            11-2                                                     9+7

11+1                                            12-3                                                     14-6

16+3                                            9+2                                                      14-7

17+1                                            8+3                                                      8+7

19-4                                             13-4                                                     8+8

15-4                                             15-6                                                     12-7

18+1                                            9+3                                                      14-8

11+7                                            8+4                                                      7+6

14-1                                             16-7                                                     6+6

16-4                                             17-8                                                     12-8

17-4                                             9+4                                                      14-9

19-2                                             8+5                                                      5+6

18-6                                             18-9                                                     5+5

13+1                                            11-3                                                     13-4

11+2                                            12-4                                                     15-6

16+2                                            7+5                                                      7+6

17+2                                            6+5                                                      7+7

19-5                                             11-4                                                     15-7

11+6                                            12-5                                                     16-7

19-7                                             9+5                                                     8+6

17-3                                             8+6                                                     9+6

12+1                                            12-6                                                     15-8

14+5                                            13-5                                                     16-8

13+2                                              9+6                                                       7+7

15+1                                              9+9                                                       8+8

12+2                                              13-6                                                      16-9

14+4                                              14-5                                                      17-8

13+3                                              9+8                                                       17-9

                                                     2 класс

КАРТОЧКА №3                       

16-1                                               18-9                                                  20+20

18-7                                               19-9                                                  40+10

19-6                                               11+9                                                 20-10

15-2                                               12+8                                                 90-10

18-6                                               20-1                                                  10+20

13-1                                               30-1                                                  30+20

12+5                                              13+7                                                 50+10

11+8                                              14+6                                                 80-10

15+2                                              40-1                                                  30-10

12+3                                              50-1                                                  30+40

14+3                                              15+5                                                 20+50

13+5                                              19+2                                                 60-10

17-1                                               18+3                                                 70-30

16-2                                               60-1                                                  40+40

12-1                                               70-1                                                  30+30

15-3                                               17+4                                                   80-50

14-1                                               16+5                                                   90-20

15+3                                              80-1                                                    50+50

16+1                                              90-1                                                    10+40

16-5                                               15+6                                                   70-40

18-5                                               14+7                                                   60-30

12+4                                              20-2                                                    20+10

14+2                                              90-2                                                    10+10

13+6                                              20+5                                                   30-30

12+7                                              30+6                                                   60-50

16-3                                               30-2                                                    90+10

18-4                                               80-2                                                    70+30

17-2                                               40+7                                                   80-80

 

                                                     2 класс

КАРТОЧКА №4     

30+5                                         35-15                                              20-14

84-4                                          28+22                                             13+4

68-18                                        84+16                                             87-4

50+14                                       47-17                                              11+9

35-15                                        33+27                                             64-4

49-9                                          51+19                                             18+7

77+3                                         97-37                                               40-15

28-8                                          64+36                                               25+14

44-12                                        85+15                                               39-19

32+11                                       51-11                                                17+40

59-11                                        78+22                                               58-8

38-14                                        89+11                                               100-1

45+13                                       99-25                                                55+15

92-12                                        38+12                                               44-4

64-13                                        54+36                                               18+11

15+12                                       87-21                                                30-2

95-14                                        46+23                                               95-95

66-16                                        18+42                                               79+0

27+12                                       86-35                                                40-13

36-11                                        44-24                                                90+10

48-17                                        50+23                                               44-43

54+14                                       17+31                                               29+21

47-27                                        78-18                                                50-19

84-44                                        32+50                                               66+34

18+12                                       13+25                                               100-15

72-11                                        98-30                                                23+33

96-34                                        45+15                                               69-38

 

                                                     3 класс

КАРТОЧКА №1

84-76                                           45+36                                      65-18

66-27                                           19+34                                       67-29

34+67                                          18+58                                       61-49

34-16                                           82-9                                          16+49

15-9                                             43-4                                          73-48

15+9                                            23-14                                        18+47

18+22                                          34-29                                        94-58

17-8                                             17+83                                        56-49

61+19                                          40-11                                         64-58

44-17                                           51-23                                         82-45

35+28                                          9+37                                          25-17

73-17                                           5+67                                          52+18

95-48                                           15+46                                        43+38

28+64                                          75-6                                           27+48

12-7                                             4+7                                            38+26

9+42                                            67-51                                         16-8

82-49                                           37+51                                        68-28

36+67                                          84-56                                         35-25

99-43                                           63-39                                         35-26

74+16                                          65-28                                         5+45

94-64                                           35+28                                        84-25

94-65                                           26+47                                        65-16

68-29                                           25+37                                        51-24

8+82                                            65-18                                         23+29

73-15                                           92-79                                         18+73

62-14                                           31-14                                         27+47

28+42                                          52+27                                        9+15

 

                                                     3 класс

КАРТОЧКА №2

46+51                                            36+49                                     28+4

46-41                                             31-25                                      81+19

8+69                                              43-7                                        60-13

75+24                                            17+7                                       93-45

36+17                                            32-28                                      56+18

62-48                                             14+47                                     32-29

31-5                                               94-68                                      52-43

32-17                                             80-13                                      40-22

62-45                                             62-19                                      24-18

48+18                                            8+88                                       9+4

66+27                                            6+65                                       18-9

32+38                                            17-8                                        14-8

91-78                                             44-19                                        12-5

96-48                                             35+47                                       14+77

61-47                                             32-25                                        16+15

11-7                                               90-16                                        46+36

62+18                                            26+48                                       32+28

37+18                                            93-18                                        53-25

73-18                                             18+3                                         80-42

4+68                                              38+7                                         40-18

9+87                                              30-14                                        51-15

84-27                                             60-15                                        86+7

84+7                                              90-45                                        52+38

94-16                                             25-17                                        12+68

93-15                                             19+19                                       14+46

67+14                                            45+45                                       59-53

25+16                                            88+6                                         35+57

                                                     3 класс

КАРТОЧКА №3

30-4                                                 13+67                                               74+16

18+18                                              61-60                                                55+23

15+15                                              97-94                                                100-31

35+35                                              29-19                                                   56-16

34+46                                              44+38                                                  22+18

94-18                                               18+13                                                  70+14

41-28                                               33+58                                                  60-21

18+23                                              13+78                                                  50-11

38+67                                              29+32                                                  30+16

83-27                                               42+29                                                  80+12

52-17                                               31+29                                                  20-19

64+18                                              32+59                                                  50-50

49+16                                              15+76                                                  34+24

88-39                                               17+13                                                  12+12

14-6                                                 46-2                                                     44-24

13-7                                                 18-18                                                   65-15

11-7                                                 95-11                                                   93+7

40-38                                               38-0                                                     41+19

43-24                                               44-40                                                   17-16

33-26                                               44-4                                                     66-65

52+14                                              51-51                                                   29+12

77+13                                              62+0                                                    35+16

62-14                                               37+2                                                    67-27

52-19                                               46+14                                                  65-30

74+8                                                15+15                                                  12+40

39+9                                                10+43                                                  54+34

43+57                                               28-15                                                  71-20

64-9                                                   35-5                                                   80-54

                                                     3 класс

КАРТОЧКА №4

Таблица умножения

 

2	3	4	5	6	7	8	9	2	3	4	5	6	7	8	2	3	4	5	6	7	2	3	4	5	6	2	3	4	5	2	3	4	2	3	2
2	3	4	5	6	7	8	9	3	4	5	6	7	8	9	4	5	6	7	8	9	5	6	7	8	9	6	7	8	9	7	8	9	8	9	9

 

По данной карточке работают следующим образом: умножают цифру первой строки на цифру второй строки

2х2=4

3х3=9

4х4=16

5х5=25 и т.д.

             

 

 

 

 

 

 

 

 

 

 

 

 

                                                  

 

 

                                         4 класс

КАРТОЧКА №1

20х90                                               600х10                                       600х60

800:20                                              2000:4                                        200:20

600х90                                             800х30                                       600х70

5400:90                                            1000:10                                      6400:8

40х50                                              900х60                                        900х90

120:6                                                200х60                                      1600:20

90х20                                               300х90                                      600х5

1800:2                                              600:20                                       5400:60

400х4                                               900х1                                        7000х9

160:40                                              900:10                                       6000:10

200х20                                             100х80                                      600х40

900:30                                              1800:60                                     1000:5

200х40                                             200х30                                      400х90

2000:5                                              6000:30                                     800:20

300х30                                             700х10                                      400х10

800:40                                              7000:10                                     400:100

300:60                                              300х20                                      400х30

450:90                                              1500:5                                       2500:50

80х20                                               3000х4                                      100х40

350:5                                                8000:80                                     400:400

800х10                                             300х50                                      400х80

7200:80                                            1200:40                                     3200:8

200х5                                               3000х6                                       400х20

210:3                                                7200:90                                       2100:70

1000:20                                            600х20                                        1000х6

300:30                                              800:10                                         1200:30

800х80                                             300х80                                        300х70

100х20                                             2400:300                                     60х60

                                         4 класс

КАРТОЧКА №2

3+4                                              31-3                                                     4х13

33:3                                              3х22                                                      3+17

20-3                                             14+6                                                      24:3

3х4                                               40:4                                                       17-3

3+11                                            19-4                                                       3х7

39:3                                              4х15                                                      13+14

13-3                                             8+13                                                      48:3

3х11                                             12:4                                                       10-3

3+18                                            12-4                                                       3х14

60:3                                              4х12                                                      13+21

30-3                                             23+36                                                    69:3

3х20                                             27:3                                                       33-3

14+25                                          18-13                                                     3х30

44:4                                              3х6                                                        4+18

20-4                                             13+13                                                    32:4

4х4                                               45:3                                                       17-14

14+12                                          11-9                                                       4х17

16:4                                              3х13                                                      24+15

13-12                                           3+20                                                      48:4

4х11                                             66:3                                                       20-4

13+5                                            32-3                                                       4х14

30:3                                              3х23                                                      13+8

100-3                                          4+27                                                       21:3

13х5                                             36:4                                                       16-13

43+12                                          18-14                                                     3х8

12-11                                           4х6                                                        13+15

3х12                                             14+4                                                      51:3

3+19                                            8:4                                                         19-3

                                         4 класс

КАРТОЧКА №3

63:3                                                  24:4                                                   80:40

11-4                                                 15-14                                                 45-25

3х15                                                 4х19                                                  6х12

3+22                                                24+17                                                37+24

90:3                                                  56:4                                                   45:15

41-3                                                 68-4                                                    80-23

3х31                                                 4х16                                                   5х25

4+19                                                33+10                                                 36+36

28:4                                                  72:9                                                    60:10

16-4                                                 84-3                                                   100-99

4х18                                                 3х10                                                  34х2

44+16                                                43+17                                               72+28

52:4                                                    57:3                                                  39:3

49-14                                                  17-3                                                  80-13

4х15                                                   3х17                                                 21х2

33+9                                                   53+24                                               18+59

18:3                                                    96:3                                                  50:2

55-3                                                    43-3                                                  71-61

13х9                                                   3х41                                                 4х24

63+16                                                 24+11                                               11+49

54:3                                                    20:4                                                  65:5

18-13                                                  14-5                                                   77-30

3х16                                                   4х20                                                   16х5

73+23                                                 4+18                                                  84+15

93:3                                                    60:4                                                    100:10

42-3                                                    17-14                                                 71-42

3х33                                                   4х17                                                   14х4

34+10                                                 46+31                                                66+34

                                         4 класс

КАРТОЧКА №4

12х10                       6х10                                  27х2                                   85-45

12-10                       9х100                                54:2                                    73-12

12+10                      60:10                                54:27                                  64+36

9:3                            15х100                              70:2                                    81-21

9+3                          700:100                             12х5                                   93-13

9-3                           45х10                                 35х3                                 48+52

9х3                           83х100                              180:60                                16+71

7х8                           240:10                              150:50                                  95-37

56:8                          17х100                              70х2                                    12+17

56:7                          800:10                               32х3                                    51-21

56-7                         800:1                                 100:2                                   46-26

56+7                        0:13                                    37х3                                   74+16

56:2                          16х0                                   25х4                                    81-40

56х10                       135х1                                 100:4                                   25-25

17х0                         18х1000                             15х5                                     19-9

0:24                          18000:100                          31х3                                    19-10

40:10                        1800:1                                93:3                                     94-45

40-10                       180:180                               16х4                                   83-33

40+10                      21х100                                72х2                                   68-0

4х10                         15х10                                   21х3                                    72-30

80:2                          340:10                                 45:3                                     29-7

80:4                          6120:10                               30:2                                     37+19

80:10                        100:10                                  16:2                                    64+11

10х8                         130х100                               90:2                                    51-40

30:2                          110х10                                 12х4                                   44-33

100:100                    405х100                               14х5                                   80-27

100:1                        900х10                                 200:4                                  60-31

100х1                       5020:10                                37х3                                   74+26

Устная  работа на уроках математики в начальном  звене  школы имеет большое значение. Среди  видов устной работы можно  выделить так называемые устные упражнения.  Устный счёт, который провожу я с учащимися, сводится в основном к вычислениям.

Устный счёт важен тем, что он активизирует мыслительную деятельность учащихся; при их выполнении активизируется, развивается память, речь, внимание, способность воспринимать сказанное на слух, быстрота реакции. Нельзя, также сбрасывать со счетов, важную воспитательную роль устного счёта – он дисциплинирует, учит учащихся терпению и умению ждать отставших товарищей, помогать им. Устный счёт на уроках проводится с целью развития у учеников математических способностей, логического мышления, внимания, памяти, а также интереса к предмету.

Целью моей работы стало доказать результативность использования карточек при формировании навыков устного счета, повышение познавательного интереса  к урокам математики.

 Задачи, которые  я ставила в данной работе:

        1) подобрать интересные примеры для успешного формирования  навыков устного счета и повышения  познавательного интереса к урокам математики.

      2) сделать выводы и дать рекомендации  по использованию данных видов карточек в школе.

       Так как устный счёт это этап урока, то он имеет  свои задачи:

      1) воспроизводство и корректировка  определённых ЗУН учащихся, необходимых  для их самостоятельной деятельности  на уроке или осознанного восприятия  объяснения учителя;

      2) контроль учителя за состоянием  знаний учащихся;

      3) психологическая подготовка учащихся  к восприятию нового материала.

  Для достижения правильности и беглости устных вычислений в течение всех четырех лет обучения на каждом уроке математики выделяю 3-5 минут для работы по карточкам, на которых примеры для устного счёта. Начинаю работу по карточкам устного счёта со 2-го полугодия 1 класса.  Карточки составляю самостоятельно, по принципу «от простого к сложному», руководствуясь программой каждого класса. Каждую четверть карточка обновляется. Устный счет, как правило, проходит в быстром темпе, в виде соревнования. Для проведения устного счёта у каждого ученика есть специальная тетрадь и карточка с примерами. По сигналу учителя «начали» дети начинают самостоятельно вычислять и записывают в тетрадь только ответы. По сигналу « стоп» заканчивается работа по устному счёту.

Образец ведения тетради.

Дата	Ответы примеров	Кол-во решённых примеров	Кол-во ошибок
20.01	1, 8, 10, 7, 9, 0, 5, 3, 6, 11	9	1
21.01	9, 2, 10, 8, 4, 0, 1, 2, 14,, 10	10	-
22.01	8, 2, 12, 1, 7, 9, 4, 6, 10, 1, 0, 3,	12	2

 

При устном счете важно установить обратную связь между учителем и учащимися. С этой целью использую различные средства, например, «светофор», когда правильность ответов ученики подтверждают зеленым цветом кругов, а неправильность – красным; использование вееров с цифрами, из которых ученики составляют числа ответов и т.д. После проведения устного счета подводится итог, я  оцениваю активность класса, правильность их ответов, успехи отдельных учеников.

Учащимся очень интересно работать по карточкам устного счёта, отрабатывая таблицу умножения.

Таблица умножения

 

2	3	4	5	6	7	8	9	2	3	4	5	6	7	8	2	3	4	5	6	7	2	3	4	5	6	2	3	4	5	2	3	4	2	3	2
2	3	4	5	6	7	8	9	3	4	5	6	7	8	9	4	5	6	7	8	9	5	6	7	8	9	6	7	8	9	7	8	9	8	9	9

По данной карточке работают следующим образом: умножают цифру первой строки на цифру второй строки

2х2=4

3х3=9

4х4=16

5х5=25 и т.д.

              С первого раза у многих не получалось быстро, с ходу выполнять эти примеры. Не беда. Я поняла, что нужна постоянная вычислительная тренировка. Из урока в урок, из года в год. Она помогла приобрести полезные навыки устного счета.

Проведя статистическую обработку данных, были получены следующие результаты:

Уметь считать нужно, потому, что это пригодится в жизни, считают 23% учащихся, чтобы хорошо учиться в школе – 62%, чтобы быстро решать – 15%

 Результаты своей работы я оформила в памятку, которую предложила всем своим коллегам.  

Выводы.

Знание приемов быстрого счета позволяет упрощать вычисления, экономить время, развивает логическое мышление и гибкость ума, повышает интерес к урокам математики.

Актуальность моей работы состоит в том, что в наше время все чаще на помощь ученикам приходят калькуляторы, и все большее количество учеников не может считать устно. А ведь изучение математики развивает логическое мышление, память, приучает человека к точности, к умению видеть главное, сообщает необходимые сведения для понимания сложных задач, возникающих в различных областях деятельности современного человека. Поэтому в своей работе я показала, как можно считать быстро и правильно и что процесс выполнения действий может быть не только полезным, но и интересным занятием. Именно, формирования вычислительных навыков усиливает интерес учащихся к математике и содействует развитию математических способностей.