CALP CALP Mathematical and Quantitative Language 2 — Questions and Answers
Question 1: In a CALP math context, what does it mean to 'justify your answer'?
- Simply writing the correct numerical answer
- Providing a written or verbal academic explanation using mathematical language and logic (Correct answer)
- Checking your computation twice
- Drawing a diagram of the problem
Correct answer: Providing a written or verbal academic explanation using mathematical language and logic
Justifying an answer in CALP math contexts requires producing academic language that explains the mathematical reasoning behind a solution.
Question 2: What makes statistical language a CALP challenge for students on US assessments?
- Statistics involves only graphs, not language
- Statistical terms like 'mean,' 'median,' and 'standard deviation' require precise academic language knowledge (Correct answer)
- Statistics is not tested on US assessments
- Statistical language uses only everyday vocabulary
Correct answer: Statistical terms like 'mean,' 'median,' and 'standard deviation' require precise academic language knowledge
Statistical terminology is academic-domain vocabulary that students must understand precisely to answer data-interpretation questions on CALP-level assessments.
Question 3: A CALP math task asks: 'Analyze the rate of change represented in the graph.' What does this require beyond graph-reading skills?
- Basic counting
- Academic language proficiency to interpret and articulate mathematical relationships verbally or in writing (Correct answer)
- Social communication skills
- Phonological awareness
Correct answer: Academic language proficiency to interpret and articulate mathematical relationships verbally or in writing
Analyzing rate of change requires CALP proficiency in both interpreting mathematical language and articulating quantitative reasoning.
Question 4: Why is the word 'significant' particularly challenging in CALP mathematics contexts?
- It is a rare word not found in math
- It has a specialized statistical meaning ('statistically significant') different from everyday usage (Correct answer)
- It is only used in algebra
- Students always understand it from conversational English
Correct answer: It has a specialized statistical meaning ('statistically significant') different from everyday usage
Words like 'significant' have specialized academic meanings in mathematics that differ from everyday usage, representing a key CALP challenge.
Question 5: A student reads a geometry problem: 'Prove that the triangles are congruent using the given theorems.' What CALP skill is required?
- Basic shape recognition
- Academic reasoning with formal mathematical language and logical proof structure (Correct answer)
- Social communication
- Literal reading of a simple sentence
Correct answer: Academic reasoning with formal mathematical language and logical proof structure
Mathematical proof requires CALP-level academic language to construct formal logical arguments using discipline-specific terminology and structures.
Question 6: Which characteristic of math word problems makes them a CALP assessment tool?
- They test computation speed
- They embed mathematical tasks within academic language that students must comprehend before solving (Correct answer)
- They are easier than symbolic problems
- They avoid abstract concepts
Correct answer: They embed mathematical tasks within academic language that students must comprehend before solving
Word problems integrate academic language comprehension with mathematical reasoning, making them effective measures of CALP proficiency in quantitative contexts.
CALP CALP Mathematical and Quantitative Language 2
In a CALP math context, what does it mean to 'justify your answer'?