# Study sets matching "elementary math mathematics"

Teaching for problem solving

Teaching about problem solving

Teaching Through problem solving

Productive Talk moves

Teaching a skill so students can later solve a problem. I.e.:…

How to problem solve. I.e. Draw a picture

Learn through real contexts, problems, situations, and models.

Revoicing... Rephrasing... Reasoning... Elaborating... Waiting

Teaching for problem solving

Teaching a skill so students can later solve a problem. I.e.:…

Teaching about problem solving

How to problem solve. I.e. Draw a picture

Speed

Least common multiple

Greatest common factor

Additive inverse

Distance ÷ time

The smallest shared multiple of any two integers

The largest number that is a common divisor of a given set of…

The additive inverse of a number a is the number that, when ad…

Speed

Distance ÷ time

Least common multiple

The smallest shared multiple of any two integers

Math Fluency components

Reasoning

Three types of math reasoning

Inductive

Accuracy, Automaticity, Rate, Flexibility

students' ability to hypothesis, test their theories, and draw…

Inductive, deductive, adaptive

Reasoning in which conclusions are based on observation

Math Fluency components

Accuracy, Automaticity, Rate, Flexibility

Reasoning

students' ability to hypothesis, test their theories, and draw…

Repeated Addition

Array Model

Fractional Part of a Quantity Model

Fundamental Counting Principle

Ex. Angela wants to buy 5 jump ropes for $3 a piece. How much…

Ex. We are trying to build a building that is 3ft by 8ft. How…

Ex. I have a pizza with 6 slices and I ate 2/3 of it. How many…

Ex. Stacy went to an ice cream shop to build an ice cream cone…

Repeated Addition

Ex. Angela wants to buy 5 jump ropes for $3 a piece. How much…

Array Model

Ex. We are trying to build a building that is 3ft by 8ft. How…

Parallelogram

Quadrilateral

Rhombus

Polygon

A quadrilateral that has both pairs of opposite sides parallel.

A four-sided polygon.

A parallelogram in which all the sides are the same length. Ha…

A closed figure formed by three or more line segments.

Parallelogram

A quadrilateral that has both pairs of opposite sides parallel.

Quadrilateral

A four-sided polygon.

Linear Measurement

Area Measurement

Area

Volume

The distance between two objects, a straight-line measurement…

A square unit equals unit square.

The number of square units required to cover a surface.

Amount of space occupied by an object or fluid.

Linear Measurement

The distance between two objects, a straight-line measurement…

Area Measurement

A square unit equals unit square.

Linear Measurement

Area Measurement

Area

Volume

The distance between two objects, a straight-line measurement…

A square unit equals unit square.

The number of square units required to cover a surface.

Amount of space occupied by an object or fluid.

Linear Measurement

The distance between two objects, a straight-line measurement…

Area Measurement

A square unit equals unit square.

Triangle Congruence

3 Properties of Congruence

Side Angle Side Congruence (SAS)

Angle Side Angle Congruence (ASA)

A set of theorems stating that if particular parts of a triang…

Side Angle Side (SAS)... Angle Side Angle (ASA)... Side Side Side (S…

If two sides and the included angle of one triangle are congru…

If two angles and the included side of one triangle are congru…

Triangle Congruence

A set of theorems stating that if particular parts of a triang…

3 Properties of Congruence

Side Angle Side (SAS)... Angle Side Angle (ASA)... Side Side Side (S…

Parallelogram

Quadrilateral

Rhombus

Polygon

A quadrilateral that has both pairs of opposite sides parallel.

A four-sided polygon.

A parallelogram in which all the sides are the same length. Ha…

A closed figure formed by three or more line segments.

Parallelogram

A quadrilateral that has both pairs of opposite sides parallel.

Quadrilateral

A four-sided polygon.

A teacher should make good use of calcu…

Pedagogical content knowledge (PCK)

What are two appropriate uses for a cal…

A teacher is explaining the process of…

To perform basic computations such as 7x3 when computation ski…

is the intersection of mathematics content knowledge with the…

Calculators can be used to explore patterns and basic facts.…

Calculator

A teacher should make good use of calcu…

To perform basic computations such as 7x3 when computation ski…

Pedagogical content knowledge (PCK)

is the intersection of mathematics content knowledge with the…

acute triangle

objective assessment

alternative assessment

authentic assessment

A triangle in which all three angles measure less 90 degrees.

refers to testing that requires the selection of one item from…

refers to the other (no traditional) options used to assess st…

is a form of alternative assessment that incorporates real-lif…

acute triangle

A triangle in which all three angles measure less 90 degrees.

objective assessment

refers to testing that requires the selection of one item from…

Three types of assets

accomodation

Modification

Concrete, Semi-Concrete, Abstract Seque…

Personal assets... Cultural assets... Community assets

Response to the needs of the environment or the learner, does…

Changes the task, making it more accessible to the student. Le…

Sequence that moves from instructional focus on Crete represen…

Three types of assets

Personal assets... Cultural assets... Community assets

accomodation

Response to the needs of the environment or the learner, does…

Math Fluency components

Reasoning

Three types of math reasoning

Inductive

Accuracy, Automaticity, Rate, Flexibility

students' ability to hypothesis, test their theories, and draw…

Inductive, deductive, adaptive

Reasoning in which conclusions are based on observation

Math Fluency components

Accuracy, Automaticity, Rate, Flexibility

Reasoning

students' ability to hypothesis, test their theories, and draw…

prime number

composite number

factors

multiples

can be divided only by 1 and itself

can be divided by 1, itself and other numbers

numbers that when multiplied together produce a given number

the products of given factors

prime number

can be divided only by 1 and itself

composite number

can be divided by 1, itself and other numbers

NCTM

Common Core Standards

Math Practice Standards (Common Core St…

Content Standards (Common Core Standard…

National Council of Teachers of Mathematics

1. Math Practice Standards... 2. Content Standards

How the students learn

What the students learn

NCTM

National Council of Teachers of Mathematics

Common Core Standards

1. Math Practice Standards... 2. Content Standards

Math Fluency components

Reasoning

Three types of math reasoning

Inductive

Accuracy, Automaticity, Rate, Flexibility

students' ability to hypothesis, test their theories, and draw…

Inductive, deductive, adaptive

Reasoning in which conclusions are based on observation

Math Fluency components

Accuracy, Automaticity, Rate, Flexibility

Reasoning

students' ability to hypothesis, test their theories, and draw…

stable order

one-on-one correspondence

order irrelevance

conservation

1,2,3,4

one number for each item

any item can be the first counted

count is not affected by appearance

stable order

1,2,3,4

one-on-one correspondence

one number for each item

Math Fluency components

Reasoning

Three types of math reasoning

Inductive

Accuracy, Automaticity, Rate, Flexibility

students' ability to hypothesis, test their theories, and draw…

Inductive, deductive, adaptive

Reasoning in which conclusions are based on observation

Math Fluency components

Accuracy, Automaticity, Rate, Flexibility

Reasoning

students' ability to hypothesis, test their theories, and draw…

median

center of data

mean or average

outlier

is the midpoint value of a data set, where the values are arra…

is a single number that summarizes the entire data set. It is…

is the sum of the numbers in a data set divided by the total n…

An outlier is a value that is much larger or smaller than the…

median

is the midpoint value of a data set, where the values are arra…

center of data

is a single number that summarizes the entire data set. It is…

Math Fluency components

Reasoning

Three types of math reasoning

Inductive

Accuracy, Automaticity, Rate, Flexibility

students' ability to hypothesis, test their theories, and draw…

Inductive, deductive, adaptive

Reasoning in which conclusions are based on observation

Math Fluency components

Accuracy, Automaticity, Rate, Flexibility

Reasoning

students' ability to hypothesis, test their theories, and draw…

Commutative Property

Associate Property

Hexagon

Polygon is regular if...

If the operation can be performed on any two numbers from the…

...

Polygon with six sides.

all sides are congruent.

Commutative Property

If the operation can be performed on any two numbers from the…

Associate Property

...

Whole Number

Decimal Point

Numerator

Denominator

There is no fraction, decimal or negatives.... Ex: 1,2,3,4,5...

A point used to separate the whole number from the fractional…

The top number of a fraction that tells you how many parts you…

The bottom number of a fraction that tells you how many parts…

Whole Number

There is no fraction, decimal or negatives.... Ex: 1,2,3,4,5...

Decimal Point

A point used to separate the whole number from the fractional…

Geometry

Algebra

Polygon

Perpendicular Lines

A branch of mathematics concerned with points, lines, and shap…

A branch of mathematics concerned with solving equations for v…

A closed shape with straight edges.

Two lines which meet at a 90 degree angle.

Geometry

A branch of mathematics concerned with points, lines, and shap…

Algebra

A branch of mathematics concerned with solving equations for v…

National Council of Teachers of Mathema…

Quote by NCTM

Curriculum and Evaluation Standards for…

Professional Standards for Teaching Mat…

world's largest mathematics education organization with more t…

Learning mathematics is maximized when teachers focus on mathe…

publication which has had the most enormous effect on school m…

publication which articulates a vision of teaching mathematics…

National Council of Teachers of Mathema…

world's largest mathematics education organization with more t…

Quote by NCTM

Learning mathematics is maximized when teachers focus on mathe…