Math

Question 1

Thematic Unit

Answer 1

a unit that has an overarching, uniting idea or topic, and incorporates skills into that theme; it can be within one subject area or support cross-curricular instruction

Question 2

Counting on

Answer 2

starting on one number and counting until reaching the second number; a typical technique is saying the counting numbers out loud while using fingers to keep track of how many numbers have been used

Question 3

Numeric Representation

Answer 3

A model using numbers to display a mathematical concept.

Question 4

Non-proportional Manipulatives

Answer 4

objects that are not proportional to each other with respect to shape and size. Often all of the items are the same size.

Example.
counting tokens

Question 5

Graphic / Pictorial Representation

Answer 5

graph or picture that serves as a visual model of a mathematical equation

Example.
Number line

Question 6

Proportional Manipulatives

Answer 6

objects that are proportional to each other with respect to shape and size

Example.
tangrams

Question 7

Verbal Representation

Answer 7

word problems and verbal descriptions of how to solve a problem or what the solution means

Question 8

Symbolic Representation

Answer 8

A model using symbols or variables to display a mathematical concept.

Example.
Formula

Question 9

Bar Graph

Answer 9

a visual representation of data which compares values in different categories

Example.
the number of people who prefer each genre of movie

Question 10

Place Value

Answer 10

The value of each digit in a number based on its location, or place

Example.
In 135, the 3 is in the tens place and has a value of 3 x 10 or 30.

Question 11

Line Graph

Answer 11

a visual representation of data which shows change over time or in response to a manipulated variable

Question 12

Concrete Representations

Answer 12

Using physical pieces to represent mathematical problems

Example.
Manipulatives

Question 13

Inquiry-Based Teaching / Student-Centered Learning

Answer 13

students drive instruction by asking questions and creating projects to answer the questions

Question 14

Backward Design / Planning

Answer 14

lesson planning that begins with the desired outcome in mind

Question 15

Basic Operations

Answer 15

addition, subtraction, multiplication, and division

Example.
Math in early elementary school grades focuses on basic operations.

Question 16

Concrete Operational Stage

Answer 16

the third stage of Piaget’s Theory of Cognitive development, occurring from 7 years old to adolescence, in which children begin to think logically and use inductive reasoning