Appendix E: IV. PROGRAM SPECIFIC ITEMS

Serious Concern

 

Developing

Proficient

Exemplary

 

Instructional strategies

 

 

 

 

Teacher Candidate (TC) has not mastered any type of instruction

TC used inappropriate method of instruction

TC uses appropriate method of instruction dependent on content

TC uses a variety of  methods of instruction consistently and effectively

Making Connections

TC makes little or no connections of mathematical ideas or to contexts outside of mathematics.

TC missed opportunities to interconnect mathematical ideas and/or apply them in contexts outside of mathematics.

TC frequently interconnects mathematical ideas and applies them in contexts outside of mathematics.

TC consistently interconnects mathematical ideas and applies them in contexts outside of mathematics.

Content Precision

 

TC makes many serious mathematical errors or mistakes

TC makes some mathematical errors

TC demonstrates mathematical precision with minor exceptions

TC demonstrates consistent mathematical precision

 

Analysis of mathematical thinking

 

 

 

TC does not evaluate mathematical thinking or strategies used by students.

TC does not always accurately evaluate the mathematical thinking and/or strategies used by students, or gives a stereotypical response.

TC analyzes and evaluates the mathematical thinking and strategies used by students.

TC accurately analyzes and evaluates the mathematical thinking and strategies used by students.

 

Development of conceptual understanding and problem solving

 

 

 

TC does very little, if any, mathematical problem solving and focuses mostly on procedural understanding in his/her classes.

TC has some trouble leading classes in mathematical problem solving and in developing conceptual understanding,

TC leads classes in mathematical problem solving and in developing conceptual understanding, and helps students to develop and test generalizations.

TC uses problem solving to help students build new mathematical knowledge and develop in-depth conceptual understanding, and helps students to develop and test generalizations.

 

 

Narrative Comments: