In assessing first-graders' understanding of adding to 10 across contexts, which approach would be most effective?

• A. keeping a mathematics journal describing problem-solving processes
• B. a timed speed quiz
• C. a standard worksheet
• D. memorizing addition facts

Answer: (A)

Understanding how first-graders think about adding to 10 across different situations means focusing on their reasoning and the strategies they use, not just the final answer. A mathematics journal that asks students to describe how they solved each problem provides direct insight into their thinking. It shows whether they can connect problems to ten, use flexible strategies (like counting up, using number bonds, or using a ten frame), and explain their steps in their own words. This kind of record helps teachers identify which ideas are working, where a student might be stuck, and how to support transfer of learning to new contexts—everyday word problems, manipulatives, and visual models alike.

By contrast, a timed speed quiz mainly measures how fast a student can recall or produce an answer, not how they reason or apply strategies in different contexts. A standard worksheet often focuses on repeating similar problems, which limits opportunity to reveal how a student approaches unfamiliar situations. Memorizing addition facts emphasizes recall without demonstrating the ability to apply those facts to new problems or explain thinking.