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Test your basic knowledge |
Teaching Though Problem Solving
Start Test
Study First
Subject
:
teaching
Instructions:
Answer 34 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Toughest phase for the Teacher. Think Vogisty (ZPD). 1. Teacher has to let go and let the S do the work! Math write time! 2. Listen actively as this is the assessment piece...walk around 3. Provide appropriate hints to funnel towards right answer 4.
During phase
Open ended problems
Modification
The importance of talk time
2. Cumulative evaluations that generate a single score. Eg. End of unit test - occurs at end of an instructional unit & document student learning
1. Teaching for Problem Solving 2. Teaching About Problem Solving 3. Teaching Through Problem Solving
drill
Value of teaching through problem solving (2)
Summative assessment
3. It assumes that all students have the necessary prior knowledge to understand the explanations;presents only one way to do the problem - while communicating that there is only one way to solve the problem;puts students into a passive learner role;pro
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4. Before phase - During phase - After phase
Three phase Lesson Plan
4 step problem solving process
Conceptual Mathematics
Before phase
5. Most overlooked phase due to time - and some teachers don't see the value - but don't miss this phase as it is the phase that brings things back around allowing S to get meaning out of the 1st two phases!
After phase
Summative assessment
Accommodation
Three phase Lesson Plan
6. 1. Understanding the problem 2. Devising a plan 3. Carrying out the plan 4. Looking back
4 step problem solving process
Open ended problems
Examples of Problem-Based Tasks
What it means to teach mathematics through problem solving
7. 1. S role is more demanding. They get to use various methods to solve problems in diverse ways 2. Allows an entry point for a WIDE range of S - so all S can be successful. Teacher gives problem and S decides how to solve it 3. S must be able to apply
Three phase Lesson Plan
Value of teaching through problem solving
Problem-Solving Strategies
4 step problem solving process
8. It must begin where the students are -The problematic or engaging aspect of the problem must be due to the mathematics that the students are to learn (students are Doing the activity) -It must require justifications and explanations for answers and m
Modification
How a problem is defined for learning mathematics
drill
The importance of talk time
9. 1. Draw a picture or create a model 2. Look for a pattern 3. Guess and check 4. Make a table of a chart 5. Try a simpler form of the problem 6. Make an organized list 7. Write an equation 8. Working backwards
After phase (steps)
1. Teaching for Problem Solving 2. Teaching About Problem Solving 3. Teaching Through Problem Solving
Modification
Problem-Solving Strategies
10. Problem-based tasks or activities are the vehicle by which the desired curriculum is developed. The learning is an outcome of the problem-solving process.
What it means to teach mathematics through problem solving
Justify
formative assessment
Three phase Lesson Plan
11. Students should be encouraged to solve in multiple ways - as this provides multiply entry points for students. This provides rich learning opportunities for math talk. Provides an easy way to tier assignments. Eg. A or B or C or D
Three phase Lesson Plan
4 step problem solving process
Problems with multiple solutions
Summative assessment
12. ELL - Special Needs - Gifted - Learning Disabilities - Cultural background. These are all things teachers must be aware of when presenting problems to students.
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13. 1. Conceptual Mathematics - 2. Algorithms and Processes
10 steps to planning a problem based lesson plan
Examples of Problem-Based Tasks
Tiered Lesson
What it means to teach mathematics through problem solving
14. 1. Teacher facilitates discussion only. Students do most of the talking. Talk time! 2. Include students at ALL levels 3. Call on shy ones - after giving them a chance to prepare to foster a community of learners 4. Encourage students to ask questions
After phase (steps)
Accommodation
Value of teaching through problem solving
Problems with multiple solutions
15. 1. Determine the mathematics and goals (state/county) 2. Consider your students' needs 3. Select - design - or adapt a task (task has to accomplish the content goals (step 1) 4. Design lesson assessments. What you want students to know and how they w
Examples of Problem-Based Tasks
Value of teaching through problem solving
After phase
10 steps to planning a problem based lesson plan
16. Providing a different environment or circumstance made with a particular student in mind. EG. changing lighting in a room - allow to work alone
After phase
Problems with multiple solutions
Examples of Problem-Based Tasks
Accommodation
17. Repetitive - Non-problem based exercises designed to improve skills in an area (multiplication facts - + --)
Modification
Tiered Lesson
Multiple Entry Points
drill
18. Different problem based tasks or experiences spread over numerous class periods - each addressing the SAME ideas
Value of teaching through problem solving
Value of teaching through problem solving (2)
practice
Why the 'teaching for problem-solving' approach is not successful in supporting student learning and retention of math concepts
19. Research identifies 3 ways that problem solving might be incorporated into mathematics instruction. What are they?
What it means to teach mathematics through problem solving
1. Teaching for Problem Solving 2. Teaching About Problem Solving 3. Teaching Through Problem Solving
drill
Open ended problems
20. Math needs to be conceptional - not procedural Math understanding the student brings to the problem
practice
10 steps to planning a problem based lesson plan
Modification
When selecting appropriate tasks consider...
21. Think IK topped out of math in elementary school - and went to middle school for more intense training
Flexible grouping
Why writing is important
Justify
drill
22. 1.Teacher activates Students prior knowledge. Think the estimate Raisins problem. 2. Make sure student understands the problem (KWL) 3. Establish clear expectations on how they will work (together - or alone) what the end product needs to be. Eg. Thi
Diversity in today's classroom includes..
Accommodation
Value of teaching through problem solving (2)
Before phase
23. Promoting mathematics as a conceptual tool - not limited to procedural thinking - also promoting the educational reform necessary to help students see math as a creative way of thinking
Justify
Before phase
10 steps to planning a problem based lesson plan
Conceptual Mathematics
24. A change to the problem or task itself. Eg. simplifying the wording
After phase
Modification
practice
How a problem is defined for learning mathematics
25. 1. Rehearsal time for the shy student 2. Prepares student to actually talk about his solution when the time comes 3. Used for assessment by teachers of the students work 4. Helps students to solidify their thoughts
After phase
How a problem is defined for learning mathematics
Why writing is important
What it means to teach mathematics through problem solving
26. Students get to hear how others solved the problem - and hear diverse solutions to the problem. This also develops their social skills (socialization is important in learning)
Diversity in today's classroom includes..
The importance of talk time
drill
10 steps to planning a problem based lesson plan
27. Assessment used throughout teaching of a lesson and/or unit to gauge students' understanding and inform and guide teaching
Examples of Problem-Based Tasks
4 step problem solving process
Tiered Lesson
formative assessment
28. Student gives rationale for the way they solved the problem. Using pictures - numbers or words. Draw - solve - write it down. Think of the students explanation of how many buses needed for the school trip ;-) This helps teacher to understand students
The importance of talk time
practice
Conceptual Mathematics
Justify
29. Allow for maximum student interpretation. Answers will vary. Eg. Planning a party and have X amount of money to spend.
practice
Tiered Lesson
Open ended problems
After phase
30. Students can approach from different angles - and can determine the simplest way to do the problem. Eg. Read a story and write a problem about the story.
Accommodation
Multiple Entry Points
Diversity in today's classroom includes..
Value of teaching through problem solving
31. Teacher determines the learning goals for all students - but the level of difficulty of the task is adapted up or down to meet the range of the learners. Is not just about content - but can include the amount of assistance provided - structure of les
drill
Tiered Lesson
Justify
Accommodation
32. 5. Builds students confidence..Math power. 6. Fun for students 7. Allows for extensions and elaborations
Modification
4 step problem solving process
Value of teaching through problem solving (2)
After phase (steps)
33. Teacher chooses problem - based on 'just right fit'. Teacher does problem herself - gives proper support to student - making sure problem is challenging.
Value of teaching through problem solving (2)
formative assessment
Planning a problem based lesson..eg.
Accommodation
34. 1. STAR (Search problem for information -Translate into words or pictures - Answer the problem - Review your solution) 2. Reinforce key words/vocabulary. Create a word or symbol wall 3. Use friendly numbers. Round up from $6.13 to $6.00 4. Vary the t
Modification
10 steps to planning a problem based lesson plan
Barriers and solutions to learning for students with disabilities
Accommodation