Daniel Brahier
Routledge | 2001 | 138 páginas | rar - pdf | 6,31 Mb
link (password: matav)
It describes each strategy and clarifies its advantages and drawbacks. Also included is a large sample of classroom-tested examples along with sample student responses. These examples can be used "as is" - or you can customize them for your own class. This book will help prepare your students for standardized tests that include items requiring evidence of conceptual understanding. The strategies reflect the assessment Standards benchmarks established by the NCTM. In addition, an entire chapter is devoted to help teachers use these assessments to arrive at their students' grades.
1 WHY CHANGE ASSESSMENT PRACTICES? 1
EXAMPLES OF STUDENT ASSESSMENTS 3
SQUARE ROOT OF A NUMBER 3
SOLVING PROPORTIONS 4
COMPUTATION AND NUMBER SENSE 5
STANDARDIZED TESTING 7
THE ASSESSMENT STANDARDS 8
THE IDEAL LINE OF INFERENCE 11
2 ALTERNATIVES FOR ASSESSMENT 17
OPEN-ENDED QUESTIONS AND RUBRICS 18
ADVANTAGES TO USING OPEN-ENDED QUESTIONS AND RUBRICS 22
POSSIBLE DRAWBACKS TO USING OPEN-ENDED QUESTIONS AND RUBRICS 22
JOURNALS 23
ADVANTAGES TO USING JOURNALS . 24
POSSIBLE DRAWBACKS TO USING JOURNALS 25
PROJECTS/PRESENTATIONS 26
ADVANTAGES TO USING PROJECTS/PRESENTATIONS 27
POSSIBLE DRAWBACKS TO USING PROJECTS/PRESENTATIONS . 27
OBSERVATIONS 28
ADVANTAGES TO USING OBSERVATIONS 28
POSSIBLE DRAWBACKS TO USING OBSERVATIONS 29
CONCLUSION 29
3 SAMPLE ASSESSMENTS 33
SAMPLE OPEN-ENDED QUESTIONS AND RUBRICS 33
NUMBER AND OPERATIONS 41
ALGEBRA 42
GEOMETRY 43
MEASUREMENT 43
DATA ANALYSIS AND PROBABILITY 44
SAMPLE JOURNAL PROMPTS 46
SAMPLE PROJECTS AND PRESENTATIONS 54
FUNCTIONS LEARNING STATIONS PROJECT - PATTERNS, ALGEBRA 54
REAL-LIFE FUNCTIONS PROJECT - FUNCTIONS, ALGEBRA 57
GRAPHING PROJECT - GRAPHS, FUNCTIONS, ALGEBRA, GEOMETRY /TRANSLATIONS 59
ANALYTIC GEOMETRY PROJECT - COORDINATE GEOMETRY (PYTHAGOREAN THEOREM, SLOPE, DISTANCE, MIDPOINT) 64
FRACTAL PROJECT - GEOMETRY, ALGEBRAIC EXPRESSIONS, ITERATION 67
GRAPHING CALCULATOR PROGRAMING PROJECT - WRITING ALGORITHMS, LOGICAL THINKING AND REASONING, USING A GRAPHING CALCULATOR . 69
SAMPLE OBSERVATION TIPS AND CHECKLISTS 73
CONCLUSION 79
4 DETERMINING FINAL GRADES . 81
WHY Do WE ASSESS STUDENT PROGRESS? . 81
ASSESSMENT AND FINAL GRADES . 84
TEST SCORES AND QUIZ SCORES 85
HOMEWORK SCORES 86
JOURNAL RUBRIC SCORES . 88
PROJECT GRADES 89
OPEN-ENDED QUESTION RUBRIC SCORES . 89
THE FINAL GRADE 92
ASSESSMENTS FOR OTHER PURPOSES 93
5 TAKING THE FIRST STEP . 99
THE ASSESSMENT PLAN 99
RATIONALE 100
GENERAL FRAMEWORK 101
SPECIFICS (TASKS, RUBRICS) . 103
THE NCTM ASSESSMENT STANDARDS AS BENCHMARKS 104
THE MATHEMATICS STANDARD 104
THE LEARNING STANDARD 105
THE EQUITY STANDARD . 105
THE OPENNESS STANDARD 105
THE INFERENCES STANDARD 105
THE COHERENCE STANDARD 106
ASSESSING YOUR ASSESSMENT PLAN .. 107
ApPENDIX 113
BOOKS 113
INTERNET RESOURCES 115
JOURNAL ARTICLES 117
VIDEO MATERIALS 120
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