Teaching Mathematics (TMN3704) -
EXAM COMPLETE QUESTIONS WITH
DETAILED DEFINITIVE SOLUTIONS (100%
CORRECT ANSWERS) ||ALREADY GRADED
A+
1. National Council of Teachers of Mathematics - ANSWER ✓ worlds largest
mathematics education organization. has an emphasis on what is best for
students and learners
2. five process standards - ANSWER ✓ problem solving, reasoning and proof,
communication, connections, representation
3. standards for mathematical practice - ANSWER ✓ make sense of problems
and persevere in solving them
reason abstractly and quantitatively
construct viable arguments and critique the reasoning of others
model with mathematics
use appropriate tools strategically
attend to precision
look for and make use of structure
look for and express regularity in repeated reasoning
4. preparing a lesson 3 brackets - ANSWER ✓ 1. content and task decisions
2. lesson plan
3. reflecting on the design
5. content and task decisions - ANSWER ✓ 1. determine the learning goals
2. consider your students' needs
3. select, design, or adapt a worthwhile task
4. design lesson assessments
6. lesson plan - ANSWER ✓ 5. plan the before phase of the lesson
6. plan the during phase of the lesson
, 7. plan the after phase of the lesson
7. reflecting on the design - ANSWER ✓ 8. reflect and refine
8. differentiating instruction - ANSWER ✓ a teachers lesson plan includes
strategies to support the range of different academic backgrounds found in
classrooms that are academically, culturally, and linguistically diverse
what content, process, product can be diverse
physical environment
9. tiered lessons - ANSWER ✓ similar problems focused on the same
mathematical goals, but adapted to meet the strange of learners, with
different groups of students working on different tasks
10.tiered lessons considerations - ANSWER ✓ 1. degree of assistance
2. how structured the task is
3. complexity of the task given
4. complexity of process
11.verbs that engage mathematics - ANSWER ✓ collaborate, describe, justify,
predict, compare, create, invent, explain, formulate, use, and verify, these
lead to higher level thinking
12.doing mathematics - ANSWER ✓ engaging in the science of pattern and
order, posing worthwhile tasks and then creating an environment where
students take risks, share, and defend mathematical ideas
13.start and jump numbers - ANSWER ✓ begin with a number(start) and
add(jump) a fixed amount. for example start with 3 and then jump by 5s.
14.one up one down - ANSWER ✓ results in an answer that is one less than the
original problem. 7x7=49 8x6=48
15.probability strategies - ANSWER ✓ tree diagrams, grids
16.instrumental understanding - ANSWER ✓ doing something without
understanding introduced by Richard Skemp in 1978, a student who only
knows the procedure for simplifying a fraction for example
EXAM COMPLETE QUESTIONS WITH
DETAILED DEFINITIVE SOLUTIONS (100%
CORRECT ANSWERS) ||ALREADY GRADED
A+
1. National Council of Teachers of Mathematics - ANSWER ✓ worlds largest
mathematics education organization. has an emphasis on what is best for
students and learners
2. five process standards - ANSWER ✓ problem solving, reasoning and proof,
communication, connections, representation
3. standards for mathematical practice - ANSWER ✓ make sense of problems
and persevere in solving them
reason abstractly and quantitatively
construct viable arguments and critique the reasoning of others
model with mathematics
use appropriate tools strategically
attend to precision
look for and make use of structure
look for and express regularity in repeated reasoning
4. preparing a lesson 3 brackets - ANSWER ✓ 1. content and task decisions
2. lesson plan
3. reflecting on the design
5. content and task decisions - ANSWER ✓ 1. determine the learning goals
2. consider your students' needs
3. select, design, or adapt a worthwhile task
4. design lesson assessments
6. lesson plan - ANSWER ✓ 5. plan the before phase of the lesson
6. plan the during phase of the lesson
, 7. plan the after phase of the lesson
7. reflecting on the design - ANSWER ✓ 8. reflect and refine
8. differentiating instruction - ANSWER ✓ a teachers lesson plan includes
strategies to support the range of different academic backgrounds found in
classrooms that are academically, culturally, and linguistically diverse
what content, process, product can be diverse
physical environment
9. tiered lessons - ANSWER ✓ similar problems focused on the same
mathematical goals, but adapted to meet the strange of learners, with
different groups of students working on different tasks
10.tiered lessons considerations - ANSWER ✓ 1. degree of assistance
2. how structured the task is
3. complexity of the task given
4. complexity of process
11.verbs that engage mathematics - ANSWER ✓ collaborate, describe, justify,
predict, compare, create, invent, explain, formulate, use, and verify, these
lead to higher level thinking
12.doing mathematics - ANSWER ✓ engaging in the science of pattern and
order, posing worthwhile tasks and then creating an environment where
students take risks, share, and defend mathematical ideas
13.start and jump numbers - ANSWER ✓ begin with a number(start) and
add(jump) a fixed amount. for example start with 3 and then jump by 5s.
14.one up one down - ANSWER ✓ results in an answer that is one less than the
original problem. 7x7=49 8x6=48
15.probability strategies - ANSWER ✓ tree diagrams, grids
16.instrumental understanding - ANSWER ✓ doing something without
understanding introduced by Richard Skemp in 1978, a student who only
knows the procedure for simplifying a fraction for example
