Numerical series technique for diagnosing math abilities and calculating memorization productivity

The methodology of the laws of the number series is testing, which allows you to determine a person’s ability to oral counting, logical thinking and mathematical calculations. Diagnostics is based on establishing the regularity of the arrangement of numbers in a row and the selection of one or more numbers that should logically continue the sequence.

The methodology of numerical series was first published in the Almanac of Psychological Tests, Moscow, 1995. There are two versions of the test: for children and for adults.

Children's version of the numerical series technique

Explanatory commentary on the test: "Read the sequence of numbers and in the remaining free cells enter two numbers that logically continue this series." Work must be completed in 8 minutes.

Examples:

• Example 1: 6, 93, 10, 93, 14, 93, 18 (Each number "A" from the pair "A, 93" is four more than the previous one).
• Example 2: 20, 70, 120, 170, 220, 270 (Each number is 50 more than the previous one).
• Example 3: 83, 72, 61, 50, 39, 28 (Each row number is 11 less than the previous one).
• Example 4: 31, 31, 38, 38, 45, 45 (The numbers in the pair "A, A" are equal and each pair is seven times more than the previous one).

Text option:

• No. 1 86 83 80 77 74 71 * *;
• No. 2. 41 51 61 71 * *;
• Number 3. 26 26 34 34 42 42 * *;
• Number 4. 16 8 19 20 8 23 * *;
• No. 5 8 10 16 10 32 10 * *;
• No. 6 64 19 63 19 62 19 * *;
• No. 7 14 5 18 5 22 5 * *;
• No. 8 11 52 93 134 175 216 * *;
• No. 9 99 93 87 81 75 69 * *;
• No. 10 31 17 32 33 17 34 * *;
• No. 11 27 35 43 51 59 67 * *;
• No. 12 16 16 32 32 64 64 * *;
• No. 13 17 5 15 16 5 14 * *;
• No. 14 12 3 16 14 3 18 * *;
• No. 15 17 6 ​​18 17 10 18 * *;
• No. 16 31 30 35 34 39 38 * *;
• No. 17 15 17 14 18 13 19 * *;
• No. 18 36 36 47 47 58 58 * *;
• No. 19 54 9 65 9 76 9 * *.

Keys:

Adult version of number series technique

Explanatory remark: "Before you are 7 sequences of numbers. You need to find the pattern according to which this series was written, and write in it the numbers that are missing." The time allotted for passing the test is 5 minutes.

1. 31 24 25 24 30 18 - - 11;
2. 6 12 20 30 - - 72 90;
3. 19 21 18 22 17 23 - -;
4. 40 30 60 50 100 - - 170;
5. 5 14 9 6 11 5 12 - 6;
6. 11 14 28 31 62 65 - - 266;
7. 41 36 30 23 - -.

Right answers:

The normal result for an adult is from three correct answers.

results

Criteria for assessing a children's test of the methodology of numerical series:

• 16-20 is an excellent result. The child’s mathematical apparatus is developing very well.
• 13-15 - the result is good. Development is going well, but you have a lot to strive for.
• 12-10 - the average level. It will take some effort to succeed in mathematics.
• 9-6 - satisfactory (below average). Check if your child’s health is good. If a child is behind in many indicators of thinking, then this is a serious cause for concern.

Deciphering the results of the adult test: if a person cannot solve such tasks, then this means that he cannot find the hidden patterns in digital material and / or is not able to use them, which implies that his mathematical thinking and logic are very poorly developed.

Memorization productivity

The technique is also used as a test for auditory memory.

So, the technique of numerical series for auditory memory and the calculation of the productivity of memorization. The sequence of actions when working with the test (it is possible that you need a partner):

1. The leader (partner) reads the first row of numbers with an interval of four seconds. After ten seconds, the subject writes down the numbers that he remembered on paper from memory.
2. Similarly, work through the remaining number series. Numbers should be crossed out if their reproduction is incorrect in order or magnitude. Skipping a few numbers from a row is not a mistake. A sequence containing five numbers, as a rule, is read out after the subject is presented with the material once.
3. You calculate the productivity of memorization according to the formula: productivity of memorization = the number of correctly named numbers - the number of errors.

Text task:

• First row: 46 53 63;
• Second row: 79 51 48 25;
• Third row: 41 67 38 24 52;
• Fourth row: 84 23 38 91 56 78;
• Fifth row: 32 54 26 41 69 51 37;
• Sixth row: 29 17 82 19 65 39 24 63;
• Seventh row: 28 39 41 69 35 83 51 43 70;
• Eighth row: 31 29 83 52 67 74 91 12 84 46.

In this article, methods of applying the numerical series technique to diagnose math abilities and calculate the productivity of memorizing auditory memory were discussed.