Assessment in Middle and High School Mathematics

by Brahier, Daniel J.

• ISBN13: 9781930556201
• ISBN10: 1930556209
• Format: Paperback
• Copyright: 2001-02-01
• Publisher: Eye on Education

Summary

Shows how to use open ended questions and rubrics, journals, projects, and presentations

Table of Contents

Why Change Assessment Practices?	1	(16)
Examples of Student Assessments	3	(5)
Square Root of a Number	3	(1)
Solving Proportions	4	(1)
Computation and Number Sense	5	(2)
Standardized Testing	7	(1)
The Assessment Standards	8	(3)
The Ideal Line of Inference	11	(2)
Conclusion	13	(1)
References	14	(3)
Alternatives for Assessment	17	(16)
Open-Ended Questions and Rubrics	18	(5)
Advantages to Using Open-Ended Questions and Rubrics	22	(1)
Possible Drawbacks to Using Open-Ended Questions and Rubrics	22	(1)
Journals	23	(3)
Advantages to Using Journals	24	(1)
Possible Drawbacks to Using Journals	25	(1)
Projects/Presentations	26	(2)
Advantages to Using Projects/Presentations	27	(1)
Possible Drawbacks to Using Projects/Presentations	27	(1)
Observations	28	(1)
Advantages to Using Observations	28	(1)
Possible Drawbacks to Using Observations	29	(1)
Conclusion	29	(3)
References	32	(1)
Sample Assessments	33	(48)
Sample Open-Ended Questions and Rubrics	33	(13)
Number and Operations	41	(1)
Algebra	42	(1)
Geometry	43	(1)
Measurement	43	(1)
Data Analysis and Probability	44	(2)
Sample Journal Prompts	46	(8)
Sample Projects and Presentations	54	(19)
Functions Learning Stations Project --- Patterns, Algebra	54	(3)
Real-Life Functions Project --- Functions, Algebra	57	(2)
Graphing Project --- Graphs, Functions, Algebra, Geometry/Translations	59	(5)
Analytic Geometry Project --- Coordinate Geometry (Pythagorean Theorem, Slope, Distance, Midpoint)	64	(3)
Fractal Project --- Geometry, Algebraic Expressions, Iteration	67	(2)
Graphing Calculator Programing Project --- Writing Algorithms, Logical Thinking and Reasoning, Using a Graphing Calculator	69	(4)
Sample Observation Tips and Checklists	73	(6)
Conclusion	79	(1)
References	79	(2)
Determining Final Grades	81	(18)
Why Do We Assess Student Progress?	81	(3)
Assessment and Final Grades	84	(9)
Test Scores and Quiz Scores	85	(1)
Homework Scores	86	(2)
Journal Rubric Scores	88	(1)
Project Grades	89	(1)
Open-Ended Question Rubric Scores	89	(3)
The Final Grade	92	(1)
Assessments for Other Purposes	93	(2)
Conclusion	95	(2)
References	97	(2)
Taking the First Step	99	(14)
The Assessment Plan	99	(5)
Rationale	100	(1)
General Framework	101	(2)
Specifics (Tasks, Rubrics)	103	(1)
The NCTM Assessment Standards as Benchmarks	104	(3)
The Mathematics Standard	104	(1)
The Learning Standard	105	(1)
The Equity Standard	105	(1)
The Openness Standard	105	(1)
The Inferences Standard	105	(1)
The Coherence Standard	106	(1)
Assessing Your Assessment Plan	107	(4)
Conclusion	111	(1)
References	112	(1)
Appendix	113
Books	113
Internet Resources	115
Journal Articles	117
Video Materials	120