Methods Mid-Term

Question 1

Critical Thinking

Answer 1

Reasonable, reflective thinking that is focused on deciding what to believe or do.

Question 2

Heuristic

Answer 2

Enabling a person to discover or learn something for themselves.

Question 3

Algorithm

Answer 3

A procedure or formula for solving a problem, usually a step-by-step set of operations.

Question 4

Three Problem Characteristics

Answer 4

Acceptance
Blockage
Exploration

Question 5

Acceptance

Answer 5

The student must accept the challenge of solving problem.

Question 6

Blockage

Answer 6

The student does not possess an algorithm or method for immediate solution.

Question 7

Exploration

Answer 7

The student actively engages in attempting a solution.

Question 8

What is a problem?

Answer 8

Problem
Exercise
Question

Question 9

Problem

Answer 9

A situation that requires thought and an application of previously learned knowledge to resolve.

Question 10

Exercise

Answer 10

A situation that involves drill or practice to reinforce a previously learned skill or algorithm.

Question 11

Question

Answer 11

A situation that can be resolved by mere recall.

Question 12

We learn ___% of what we read.

Answer 12

10%

Question 13

We learn ___% of what we hear.

Answer 13

20%

Question 14

We learned ___% of what we see.

Answer 14

30%

Question 15

We learn ___% of what we discuss with others.

Answer 15

70%

Question 16

Problem Solving Strategies

Answer 16

1) Data Analysis
2) Analytical Reasoning
3) Inductive Reasoning
4) Deductive Reasoning

Question 17

Data Analysis

Answer 17

Use by:

• making a drawing, diagram chart, or model
• organized or exhaustive list

Question 18

Analytical Reasoning

Answer 18

Use by:

• solving a simpler problem
• working backwards
• breaking into parts
• act it out

Question 19

Inductive Reasoning

Answer 19

Use by:

• Pattern recognition
• expanding from the known by simulation
• guess and check

Question 20

Deductive Reasoning

Answer 20

Use by:

• logical deduction
• writing a mathematical sentence

Question 21

Standards for Mathematical Practice

Answer 21

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 mathematics
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

Question 22

What percent of mental math is used in real life?

Answer 22

70%

Question 23

When teaching, teach through ____________ before ________.

Answer 23

Experience; label

Question 24

Problem Solving

Answer 24

The process of finding solutions to difficult or complex issues.

Question 25

Why is it positive to see parents and children interacting?

Answer 25

The children learn and reflect how the parent acts, so getting them excited and working together gives students a better outlook on mathematics.

Question 26

Different Teaching Techniques

Answer 26

1) Direct Instruction
2) Student Exploration
3) Using a Graphic Organizer

Question 27

Types Technology Uses in the Classroom

Answer 27

• Graphing calculator
• Desmos
• Trig Tracker
• ActivInspire

Question 28

Ideas to keep in mind when creating tests

Answer 28

• Directions should be clear
• Over prepare students (review the harder versions of questions, test easier versions of questions)
• Ask the basic concepts
• You should be able to finish taking the test with AT LEAST 15 minutes to go in a normal 50min class period in order for the class to have enough time for the test.