Student response shows clear evidence of

CRITERIA FOR ASSESSING MATHEMATICS

LEVEL 1

Emerging

LEVEL 2

Approaching

LEVEL 3

Proficient

LEVEL 4

Exemplary  

Claim 1 Concepts & Procedures 

“Students can explain and apply mathematical

concepts and carry out mathematical procedures with precision and fluency.”

  1. Use of invalid procedures, may not address learning target
  2. Limited conceptual understanding
  3. Attempts to use a model

  1. Use of valid procedures, may not always be carried out correctly
  2. Some conceptual understanding
  3. Some use of models

  1. Use of valid procedures, carried out correctly
  2. Conceptual understanding
  3. Some use of / connections between various models
  1. Consistent, independent use / evaluation of multiple methods
  2. Thorough, concise conceptual understanding
  3. Clear, precise connections between various models

Claim 2 Problem Solving 

“Students can frame and solve a range of complex and real-world problems in pure and applied mathematics.  This is accomplished with the use of problem solving strategies and mathematical models”

  1. Difficulty reaching a valid solution
  2. Limited attention to precision and thoroughness
  3. Difficulty finding / applying strategies

  1. Solution reached, may not make sense
  2. Little attention to precision and thoroughness
  3. Some strategies used, may not be appropriate
  1. Valid solution reached, makes sense in context
  2. Some attention to precision and thoroughness
  3. Appropriate problem solving strategies

  1. Results examined / solutions verified
  2. Precise, thorough response
  3. Efficient problem solving strategies

Claim 3 Communication and Reasoning

“Students can clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others through the use of mathematical language and/or models.”

  1. Limited  mathematical reasoning
  2. Lack or incorrect use of mathematical language and symbolic notation
  3. No justification of reasoning
  1. Attempts to show mathematical reasoning using models; connection between reasoning and model may not be clear
  2. Some appropriate mathematical language and symbolic notation
  3. Limited justification of reasoning

  1. Correct mathematical reasoning including models;  some connection between reasoning and model
  2. Correct mathematical language and appropriate symbolic notation
  3. Justification of mathematical reasoning
  1. Concise, thorough mathematical reasoning using models; clear connection between reasoning and model
  2. Precise mathematical language and symbolic notation
  3. Thorough justification of  mathematical reasoning using multiple pieces of evidence

Claim 4 Modeling interwoven throughout

Interpreting Comments:

Comments:

Claim : Level : Specific focus (optional)

Means

NA = Not assessed

+ =  area of strength

- =  area for improvement

~ = inconclusive evidence

1:3; 2:4:B+; 3:2:B-=3

Proficient on concepts and procedures;

Exemplary problem solving with precise, thorough responses;

Approaching communication- improve on language and notation;

Overall Proficient

Draft 1, September 2017. Adapted from the AERO Math Student Profile by Jon Lind