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MATH 391 - Test 1: Questions And Accurate Answers
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MATH 391 - Test 1: Questions And Accurate Answers3 "global" external influences and pressures on mathematics teaching
✔️Ans - 1. National Assessment of Education Progress
2. Trends in International Mathematics and Science Study
3. National Council of Teachers of Mathematics (NCTM)
What are the 6 principles in Principles and Standards? ✔️Ans - 1. The
Equity Principle
2. The Curriculum Principle
3. The Teaching Principle
4. The Learning Principle
5. The Assessment Principle
6. The Technology Principle
Summarize the key ideas to keep in mind as you begin teaching
mathematics. ✔️Ans - Students need to be taught "big ideas" in math
and learn math with understanding which includes understanding through
the use of technology. Teachers must provide the opportunity to learn math
to all students by themselves having a deep understanding of math content
and of how students learn as well as a commitment to ongoing assessments
that help students establish goals and become independent learners.
What are the 5 content standards in Principles and Standards? ✔️Ans
- 1. Number and Operations
2. Algebra
3. Geometry
4. Measurement
5. Data Analysis and Probability
What is meant by a process as referred to in the Principles and Standards?
✔️Ans - A process is the mathematical processes through which pre-k - 12
students acquire and use math knowledge.
State one of the ways you can help your students develop each of the 5
process standards. ✔️Ans - 1. Problem Solving - select meaningful
tasks
, 2. Reasoning and Proof - have students consider evidence of why
something is true or not
3. Communication - share examples of student work
4. Connections - emphasize how math ideas explicitly connect to students'
prior knowledge and future learning
5. Representation - encourage students to use multiple representations and
communicate their thinking
Describe some characteristics, habits of mind, skills, and dispositions that
you need to become an effective teacher of math. ✔️Ans - 1.
Knowledge of Math
2. Persistence
3. Positive Disposition
4. Readiness for Change
5. Life Long Learning
Identify the 8 standards for mathematical practice from the Common Core
State Standards. ✔️Ans - 1. Make sense of problems and persevere in
solving them
2. Reason abstractly and quantitatively
3. Construct viable arguments and critique the reasoning of others
4. Model with math
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
From a traditional point of view, describe what it means to know and do
mathematics. ✔️Ans - Doing math is imitating what the teacher does.
Students listen, copy, memorize, drill, and compute.
From an authentic point of view, describe what it means to know and do
mathematics. ✔️Ans - Doing math is making sense and figuring out.
Students connect to previous material, respond beyond what is required
and conjecture or predict.
Briefly describe understanding. ✔️Ans - Understanding is a measure
of the quality and quantity of connections that an idea has with existing
ideas. It is not an all or nothing concept. It depends on the existence of
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