Methods Mid-Term Flashcards
Critical Thinking
Reasonable, reflective thinking that is focused on deciding what to believe or do.
Heuristic
Enabling a person to discover or learn something for themselves.
Algorithm
A procedure or formula for solving a problem, usually a step-by-step set of operations.
Three Problem Characteristics
Acceptance
Blockage
Exploration
Acceptance
The student must accept the challenge of solving problem.
Blockage
The student does not possess an algorithm or method for immediate solution.
Exploration
The student actively engages in attempting a solution.
What is a problem?
Problem
Exercise
Question
Problem
A situation that requires thought and an application of previously learned knowledge to resolve.
Exercise
A situation that involves drill or practice to reinforce a previously learned skill or algorithm.
Question
A situation that can be resolved by mere recall.
We learn ___% of what we read.
10%
We learn ___% of what we hear.
20%
We learned ___% of what we see.
30%
We learn ___% of what we discuss with others.
70%
Problem Solving Strategies
1) Data Analysis
2) Analytical Reasoning
3) Inductive Reasoning
4) Deductive Reasoning
Data Analysis
Use by:
- making a drawing, diagram chart, or model
- organized or exhaustive list
Analytical Reasoning
Use by:
- solving a simpler problem
- working backwards
- breaking into parts
- act it out
Inductive Reasoning
Use by:
- Pattern recognition
- expanding from the known by simulation
- guess and check
Deductive Reasoning
Use by:
- logical deduction
- writing a mathematical sentence
Standards for Mathematical Practice
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
What percent of mental math is used in real life?
70%
When teaching, teach through ____________ before ________.
Experience; label
Problem Solving
The process of finding solutions to difficult or complex issues.
Why is it positive to see parents and children interacting?
The children learn and reflect how the parent acts, so getting them excited and working together gives students a better outlook on mathematics.
Different Teaching Techniques
1) Direct Instruction
2) Student Exploration
3) Using a Graphic Organizer
Types Technology Uses in the Classroom
- Graphing calculator
- Desmos
- Trig Tracker
- ActivInspire
Ideas to keep in mind when creating tests
- 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.
