Math is Figure-Out-Able! Ep 98: If Not the Division Algorithm, Then What?
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May 3, 2022 This discussion dives deep into the struggle with long division and the switch to more intuitive strategies. Listeners will discover the power of partial quotients and techniques like ‘over-under’ estimation. They explore how ratios and equivalent fractions can simplify division. The hosts emphasize thinking in larger chunks and mastering foundational math knowledge to boost confidence in solving division problems. With playful approaches, they inspire a calculator-free mindset in tackling math challenges.
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Pam's Contrasting Division Experiences
- Pam recalls a positive memory of mastering long division in 4th grade, feeling proud due to its difficulty for others.
- However, she contrasts this with her sister's traumatic experience, marked by anxiety and physical illness from the pressure of learning the algorithm.
Transitioning from Partial Quotients to Smart Partial Quotients
- Start by encouraging partial quotients, allowing students to use known multiplication facts to break down the problem into smaller, manageable chunks.
- Guide students towards using larger, more strategic chunks (smart partial quotients) to improve efficiency.
Using Smart Partial Quotients
- Encourage kids to think about "how far away am I?" to determine the remaining amount in division.
- Promote the use of bigger, fewer chunks when using the smart partial quotients strategy for better efficiency.