Transcription of Mathematics Navigator
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Mathematics Navigator
Misconceptions and ErrorsMathematics NavigatorMatheMatics Navigator | iii Introductionin this guideMisconceptions and errors are addressed as follows: place value .. 1 Addition and Subtraction .. 4 Multiplication and Division .. 8 Fractions .. 14 Decimals .. 22 Measurement .. 25 Percents .. 30 Functions and Graphs .. 31 Equations and Expressions .. 33 Mathematics Navigator | place value . When counting tens and ones (or hundreds, tens, and ones), the student misapplies the procedure for counting on and treats tens and ones (or hundreds, tens, and ones) as separate asked to count collections of bundled tens and ones, such as ||| , student counts 10, 20, 30, 1, 2, instead of 10, 20, 30, 31, 2. The student has alternative conception of multidigit numbers and sees them as numbers independent of place value .
The student orders numbers based on the value of the digits, instead of place value. 69 > 102, because 6 and 9 are bigger than 1 and 2. Example 6. The student undergeneralizes results of multiplication by powers of 10 and does not understand that shifting digits to higher place values is like multiplying by powers of 10.
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