Download - Math413assessmentf09
What does Assessment mean to you?
Some Thoughts! Evaluation Measurement Classroom behavior Achievement Test Quizzes Grades Pass/Fail Accountability High Stakes Observations Diagnosis Portfolio Homework Standardized tests
What does Assessment mean to your students?TestsQuizzesCMTsCAPTSATs
Building Assessment into Instruction… Purpose of AssessmentMonitoring your teaching or instruction to
make instructional decisions
Monitoring student progress or to promote growth
Evaluating student achievement
Evaluating a mathematics program such as CMTs, CAPT, etc.
4
Student AssessmentsCan be formal or informal butthe objective is always the same, that is to
gather information about how students are performing…
You will be data informed…if you do this
Assessments are formative or summative…
How do these assessments affect the students’ grade?Traditionally most likely only test and quizzes
count in the grade and perhaps a random check of homework
What Should Be Assessed?Concepts ProcessesDispositionsProcedures
7
Mathematical Concepts or Big Ideas
A good assessment strategy will provide opportunities for students to demonstrate how they themselves understand the concepts in each content area under discussion………..
Algebra Numbers and Operations Geometry Measurement Data Analysis and Probability
Some good examples…MeasurementSheila emptied her piggy bank, wrapped her
coins, and put them in a bag to go to the bank. The bag weighed 20 pounds. How much money do you think Sheila had in coins?
You write on paper every day in school. If you were to box up all of the pieces of paper you’ve used since entering school, what fraction of the room do you think the boxes would fill?
A ball of dough is rolled out into a circle with a 12 inch diameter. How many cookies with a diameter of 2.5 inches can be made from this dough?
Mathematical Processes
Problem Solving
Student works at understanding a problem before beginning work Student uses drawings, graphs, and physical models to help solve problems Assesses the validity of answers –”makes sense”
Reasoning and Proof Student justifies solutions
Communication Student can explain their ideas in writing Student communicates their ideas clearly in class discussions
Connections Students can show purpose of activity
Representation Student can show multiple solutions
Mathematical DispositionsImportant to occasionally collect data on
students’ confidence and beliefs in their own mathematical abilities as well as likes and dislikes about mathematics
Perhaps, a math autobiography or self assessment
Mathematics ProceduresProcedural knowledge including skill
proficiency…For example, a student may be able to find a common denominator to add fractions but may have no idea why ?
They may have mastered the “rules” but cannot connect to meaning
If you change the “rules” then they cannot “do” because they have no conceptual understanding
How should Assessments be done? Test or QuizWhat is the purpose of the test or quiz?
Pretest or Posttest?Test or Quiz ConstructionPreparing itemsEnsuring Validity and ReliabilityScoring Student WorkIncluding Review ItemsLimitations to written tests or quizzes
Alternative or Authentic Assessment?JournalsOpen-ended Questions and RubricsIndividual and Team ProjectsObservations and Check ListsInterviewsSelf AssessmentPortfoliosWeb QuestPaper on history of ?
Any other thoughts?
Alternate AssessmentAssess student understanding by promoting
student discussionHow are students involved in the lesson
activity?How successful are they?
Include presentations and require that all students participate Ensure that all students take an active part in
the presentation
Alternate AssessmentInvolve students in the development of
rubricsInterview your studentsMake writing about math a routine not a
special occasionFind a way for your students to communicate
math outside of classAssign self assessments for students to
monitor their progress
RubricsA rubric is a framework that can be designed
or adapted by the teacher for a particular group of students or a particular mathematical task (Kulm, 1994).
http://school.discoveryeducation.com/schrockguide/assess.html
17
Assessment vs. Testing1. How is assessment different than testing?2. What are at least four purposes of
assessment?3. How can a learning task or problem be an
assessment task?4. What is the difference between formative
and summative assessment?5. What is authentic or alternate
assessment? Provide some examples………
18