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Common errors in mathematics

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Ritesh Pathak
Ritesh Pathak

This document discusses mathematics and common types of errors students make. It defines mathematics as the science dealing with logic of shape, quantity and arrangement. It notes math is essential to many areas of life. It then outlines three common types of errors: careless errors from lack of attention; computational errors from mistakes in operations; and conceptual errors from misunderstanding concepts or flawed logic. It provides examples of each type of error and their correct solutions to demonstrate misunderstandings. It concludes with some practice problems to solve.

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Common errors in mathematics
Common errors in mathematics
Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, architecture (ancient and modern), art, money, engineering, and even sports.
Careless Errors Computational Errors Conceptual Errors
Careless errors occur simple because they are not playing attention or are working too fast. 1. Copying the problem wrong to begin with. 2. Writing a wrong number. 3. Dropping a negative sign. 4. Sloppy handwriting.
The second type of mistake is computational. This means somewhere in process they incorrectly added,subtraction,multiplied or divided.
Conceptual errors occur because kids have misunderstood the underling concept or have used incorrect logic.
4-2=2 2-4= -2 +4+2=+6 -4-2=-6 -5*(+2)=(-5)*(+2)=-10 -5*(+2)=(-5)*(-2)=+10
Examples
Solve 43 = 4 3 Correct: 43 = 4 4 4
solve-(3)2 = -3 -3 = 9 Correct: -(3 3) = -9
Incorrect: 8/0 = 0 Correct: 8/0 = No answer!
Solve -5 + 15 = -20 Correct: -5 + 15 = 10
Solve 9 + 16 9+16 3 + 4 7 Correct: 9 + 16 25 5
Solve : y3 y2 = y6 Correct: y3 y2 = y5
Solve : (2y)4 = 2y4 Correct : (2y)4 = 16y4
solve 4 (2z + 5) = 4 2z + 5 Correct: 4 (2z + 5) = 4 2z + 4 5
Solve 50 3 2 = 47 2 = 94 Correct 50 3 2 = 50 6 = 44
solve: x + 10 = 20 x + 10 - 10 = 20 - 10 0 = 10 Correct: x + 10 = 20 x + 10 - 10 = 20 - 10 x + 0 = 10
Square 4x
Square -3
Common errors in mathematics
Common errors in mathematics
Common errors in mathematics
Questions
-2 + (-6) = ________? -4 + 3 = _________ ? 5 (- 2)= _________?
-2 4 =__________ ? -6 歎(- 2)=____________?
Solve for n: 6n + 12 = 6?
Solve x2=16?
Solve 2x(x-2)=x(x-1)?

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Common errors in mathematics

  • 3. Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, architecture (ancient and modern), art, money, engineering, and even sports.
  • 4. Careless Errors Computational Errors Conceptual Errors
  • 5. Careless errors occur simple because they are not playing attention or are working too fast. 1. Copying the problem wrong to begin with. 2. Writing a wrong number. 3. Dropping a negative sign. 4. Sloppy handwriting.
  • 6. The second type of mistake is computational. This means somewhere in process they incorrectly added,subtraction,multiplied or divided.
  • 7. Conceptual errors occur because kids have misunderstood the underling concept or have used incorrect logic.
  • 8. 4-2=2 2-4= -2 +4+2=+6 -4-2=-6 -5*(+2)=(-5)*(+2)=-10 -5*(+2)=(-5)*(-2)=+10
  • 10. Solve 43 = 4 3 Correct: 43 = 4 4 4
  • 11. solve-(3)2 = -3 -3 = 9 Correct: -(3 3) = -9
  • 12. Incorrect: 8/0 = 0 Correct: 8/0 = No answer!
  • 13. Solve -5 + 15 = -20 Correct: -5 + 15 = 10
  • 14. Solve 9 + 16 9+16 3 + 4 7 Correct: 9 + 16 25 5
  • 15. Solve : y3 y2 = y6 Correct: y3 y2 = y5
  • 16. Solve : (2y)4 = 2y4 Correct : (2y)4 = 16y4
  • 17. solve 4 (2z + 5) = 4 2z + 5 Correct: 4 (2z + 5) = 4 2z + 4 5
  • 18. Solve 50 3 2 = 47 2 = 94 Correct 50 3 2 = 50 6 = 44
  • 19. solve: x + 10 = 20 x + 10 - 10 = 20 - 10 0 = 10 Correct: x + 10 = 20 x + 10 - 10 = 20 - 10 x + 0 = 10
  • 26. -2 + (-6) = ________? -4 + 3 = _________ ? 5 (- 2)= _________?
  • 27. -2 4 =__________ ? -6 歎(- 2)=____________?
  • 28. Solve for n: 6n + 12 = 6?