Tracking Proof Skills Through the Curriculum

Title

Description

People involved

Scheduled dates for work

Status (2015.01.22)

Documents

Proof.1
Proof Concept Test

Develop a concept test to assess proof skills appropriate for 300 and 400-level courses.

SM, BM

Summer and Winter Terms 2012-2013

A first draft of the test with open-ended questions, including faculty input and revisions, has been developed (version 1.0).

Student think-aloud interviews were conducted on PCT v1.0 and the results will be used to revise the test for use in Jan 2014.

PCT version 1.0

Proof.2
Basic Proof Diagnostic in MATH 320

Administer the basic proof diagnostic developed for MATH 220 in MATH 320 and analyze the results to assess (a) retention of skills and (b) compare incoming skills of Math 220 students vs. non-Math 220 students (honours stream).

SM

Sept 2012

The test was administered and analysis complete. (a) Retention of skills from Math 220 to Math 320 was excellent. (b) students who took Math 220 performed better on the diagnostic than those who did not.

Summary of Scores

Proof.3
Administer the PCT in MATH 342

Administer the proof concept test in Math 342, to pilot the questions as well as collect a bank of student responses for conversion to easy-score form.

SM, BM

Jan 2014

Complete. Responses were reviewed and results summarized. Further responses are needed for many of the problems.

Summary of solution approaches and common errors

Proof.4
PCT Problem on Math 342 Final Exam

Include one of the PCT problems on the M342 final exam, to supplement the bank of student responses for conversion to easy-score form.

SM, BM

Apr 2014

Complete. Responses were reviewed and results summarized.

Proof.5
Two-Stage Review of PCT Problems in MATH 342

Administer a subset of PCT problems in a 2-stage review format (individual+group responses), to supplement the bank of student responses for conversion to easy-score form.

SM, BM, BW

Jan 2015

2-stage review was run on Jan 8, responses have been analyzed.

Summary of individual responses

Proof.6
Multi-Choice PCT

Create a fully multiple-choice (or other easily scored) version of the PCT from the bank of student responses and interviews collected.

SM, BM

Jan-Apr 2015

Not started