Index/Topics/Math Education

Math Education

The methods and practices used in teaching mathematics, including the use of mnemonics like PEMDAS and the importance of explicit instruction and targeted practice in correcting common misconceptions.

Fact-Checks

7 results
Jan 9, 2026
Most Viewed

How to evaluate 143 + 305 * 70 step by step with intermediate results?

The expression 143 + 305 * 70 should be evaluated by performing the multiplication before the addition, because standard order-of-operations rules (PEMDAS: Parentheses, Exponents, Multiplication/Divis...

Jan 14, 2026
Most Viewed

How does PEMDAS differ from BODMAS and when does that matter?

PEMDAS and BODMAS are regional mnemonics that encode the same underlying order‑of‑operations principle—do grouping symbols first, then exponents/orders, then multiplication and division (as a pair, le...

Jan 11, 2026
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How can mental arithmetic shortcuts simplify multiplying numbers like 305 × 70?

Mental-arithmetic shortcuts turn a problem like 305 × 70 into a sequence of simpler, well-structured steps—remove zeros, multiply the core digits, and reattach zeros—so the brain handles small, famili...

Jan 15, 2026

What are common errors students make applying order of operations and how do teachers correct them?

Students commonly misapply the order of operations by treating the mnemonic PEMDAS as strictly sequential instead of recognizing equal-precedence pairs and left-to-right associativity, mixing up subtr...

Jan 10, 2026

What are common pitfalls when computing expressions with multiplication and addition?

Computing expressions that mix multiplication and addition commonly trips people up because of order-of-operations rules and misleading mnemonics; multiplication has precedence over addition, but mult...

Jan 9, 2026

What is the difference between PEMDAS and BODMAS in order of operations?

PEMDAS and BODMAS are pedagogical acronyms that encode the same conventional “order of operations” used to disambiguate arithmetic and algebraic expressions: evaluate grouping symbols first, then powe...

Jan 8, 2026

How do you apply PEMDAS to expressions with multiplication and addition?

PEMDAS is a shorthand to resolve ambiguity in multi-operation expressions: do Parentheses, then Exponents, then Multiplication/Division (left-to-right), then Addition/Subtraction (left-to-right) — whi...