Formative Assessment 124

Assessment Problem: 

A bag of snack food has 4 vitamins and weighs 228 grams. How many grams of snack food are in 6 bags?

Common Responses: 

228/4 or 228/6. The student chooses to divide because there is a big number and a small number.

Mathematical Issues: 

Students use superficial cues or irrelevant information to choose operations. (See encyclopedia entry Choosing Operations in Modeling) This problem can be used to investigate how students are choosing operations for word problems, how students conceive of operations, and student’s ability to connect operations to contextualized situations.

Domain: 
Modeling & Word Problems
Theme: 
Translating words to symbols
Common Core Standards: 
6.EE Expressions and Equations
Research References: 
Bell, A., Swan, M., & Taylor, G. (1981). Choice of operation in verbal problems with decimal numbers. Educational Studies in Mathematics, 12, 399-420. Johanning, D. I. (2004). Supporting the development of algebraic thinking in middle school: A closer look at students’ informal strategies. Journal of Mathematical Behavior, 23, 371-388. Sowder, L. (1988). Children's solutions of story problems. The Journal of Mathematical Behavior, 7, 227-238. (Additional references cited on pages 227-228 of Sowder’s article)