Procedural Learning

learning formulas and algorithms

Conceptual learning

Understanding the "why" and concepts behind information

Productive struggle

mistakes allowing learning to happen; this can also be a confidence booster

Growth mindset

always being willing and wanting to learn; remembering the struggle is to a student's benefit

Problem solving

refers to the student's ability to look at a problem and know the steps to solving

The problem solving process

1. understand the problem 2. devise a plan 3. carry out the plan 4. look back and confirm work is correct

Problem Solving Strategies

- looking for patterns - examining a related problem -examining a simpler case/ making a table - identifying a subgoal - make a diagram -work backward

inductive reasoning

finding patterns

Conjecture

a statement that is thought to be true but not yet proved to be true or false

How can you determine the validity of a conjecture?

- write a proof to prove it - try all the cases to prove it - find a counter example to disprove it

Deductive reasoning

using previous mathematical knowledge like theorems, proofs, definitions, ect. to show a statement is true

Sequences

an ordered arrangement of numbers, figures, or objects

Arithmetic sequence

a set number is added to a term to get the next term