Volume 92 • 2022 • Fall 2022 hero image.
Volume 92 • 2022 • Fall 2022

Fractions and geometry carry this issue. The center of it is a pair of linked Produce Basket papers from Adams, Bucci, McEwan, and Reinthal: one lays out their elementary module, built around a basket that stands for the whole and rooted in Bob Moses and the Algebra Project, and the other reports what happened when twenty-two preservice teachers at Ohio State Mansfield spent eight weeks with it. The argument is that formal fraction notation is where number sense stalls, and that a precise meaning of “fraction” can be taught before the symbols arrive.

The geometry runs from the classroom to the clever result. Snyder and Kara hand students five chosen snowflakes and ask them to model what makes a snowflake a snowflake; Moyer and Krach build perimeter and area out of reflection and rotation. Kaufman shows that Area/Perimeter equals r/2 not just for triangles but for any shape with an inscribed circle, and Minor offers a divisibility test for integers ending in 1, 3, 7, or 9, proof included.


Articles

A Modeling Activity
A Modeling Activity

Megan Snyder and Melike Kara

2022-09-08 Volume 92 • 2022 • Fall 2022 • 1--7

A New Divisibility Test for a Class of Integers
A New Divisibility Test for a Class of Integers

Darrell Minor

2022-09-08 Volume 92 • 2022 • Fall 2022 • 8--12

Formulas! Formulas! Everywhere!
Formulas! Formulas! Everywhere!

Todd O Moyer and R. Michael Krach

2022-09-23 Volume 92 • 2022 • Fall 2022 • 13--26

Area and perimeter relationship for different shapes with an inradius
Area and perimeter relationship for different shapes with an inradius

Richard Kaufman

2022-09-24 Volume 92 • 2022 • Fall 2022 • 27--31

Produce Basket: The Development of PB module for improving fraction learning
Produce Basket: The Development of PB module for improving fraction learning

Deb Adams, Terri Bucci, Lee McEwan and Kevin Reinthal

2022-09-27 Volume 92 • 2022 • Fall 2022 • 32--41

Produce Basket: The Effect of Experiential Fraction Pedagogy on Preservice Teacher Learning
Produce Basket: The Effect of Experiential Fraction Pedagogy on Preservice Teacher Learning

Deb Adams, Terri Bucci, Lee McEwan and Kevin Reinthal

2022-09-27 Volume 92 • 2022 • Fall 2022 • 42--49

Investigation and Discovery
Investigation and Discovery

Steven P. Meiring

2022-10-28 Volume 92 • 2022 • Fall 2022 • 50--56

Visualizing an Alternating Series
Visualizing an Alternating Series

Ritam Sinha

2022-12-05 Volume 92 • 2022 • Fall 2022 • 57--61

Contest Corner
Contest Corner

Michael Flick and Debbie Kuchey

2022-12-12 Volume 92 • 2022 • Fall 2022 • 62--64

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