# Uncovering Student Thinking in Mathematics- 25 K-12 Formative Assessment Probes

The 10 assessment probes in the "Number and Operations" section of this book can be used as a CTS application to examine student thinking after conducting a CTS. Additionally, the teacher background notes provide valuable information on instructional implications (CTS Section II) and research on learning (CTS Section III). For example, the "Comparing FRactions" probe can be used with the "Fractions" CTS to examine student work related to part-whole relationships when comparing fractions. The section on "Seeking Links to Cognitive Research" can be used with CTS Section IV to further examine learning difficulties and misconceptions. The "Teaching Implications" section offers ideas and questions to consider to support deeper understanding of fractions.

#### Bibliographic Citation

Rose, C., Minton, L., and Arline, C. 2007. Uncovering student thinking in mathematics- 25 formative assessment probes. Thousand Oaks, CA: Corwin Press.

#### Type of Resource

#### CTS Topic(s)

- Addition and Subtraction
- Addition and Subtraction of Whole Numbers
- Comparing and Ordering Numbers
- Computation and Operations
- Counting
- Decimals
- Equivalence
- Estimation
- Exponents
- Facts
- Fractions
- Large and Small Numbers
- Multiplication and Division
- Multiplication and Division of Whole Numbers
- Percent
- Place Value
- Properties of Operations
- Ratio and Proportion
- Rational Numbers
- Fractions, Decimals, and Percents

#### CTS Categories

- Addition and Subtraction
- Addition and Subtraction of Whole Numbers
- Assessment Task
- Comparing and Ordering Numbers
- Computation and Operations
- Counting
- Decimals
- Equivalence
- Estimation
- Exponents
- Facts
- Fractions
- Fractions, Decimals, and Percents
- Large and Small Numbers
- Mathematics Education Book
- Multiplication and Division
- Multiplication and Division of Whole Numbers
- Numbers and Operations
- Percent
- Place Value
- Properties of Operations
- Ratio and Proportion
- Rational Numbers