# Study sets matching "elementary math mathematics addition"

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D- doubles... K- zeros- additive identity

E- doubles plus one- doubles... J- ones- count on... K- zeros- addit…

E- doubles plus one- doubles... J- ones- count on... K- zeros- addit…

F- dive in between- doubles... I- twos- count on... K- zeros- additi…

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D- doubles... K- zeros- additive identity

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E- doubles plus one- doubles... J- ones- count on... K- zeros- addit…

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

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…

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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…

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.

reasoning and proof

What is NCTM

What are the six principles

Principles and Standards for School Sch…

high level ... develop and evaluate

National Council of Teachers of Mathematics

Equity, Curriculum, Teaching, Learning, Assessment, Technology

Problem Solving, Reasoning and Proof, Communications, Connecti…

reasoning and proof

high level ... develop and evaluate

What is NCTM

National Council of Teachers of Mathematics

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.

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.

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…

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.

Conceptually-based teaching

Physical knowledge

Spatial-temporal knowledge

Logical-mathematical knowledge

teaching concepts rather than just memorizing facts.... Example:…

which children get by observing their physical environment, se…

how children think about space and time, is another area that…

can be developed by using arithmetic, classifying and ordering…

Conceptually-based teaching

teaching concepts rather than just memorizing facts.... Example:…

Physical knowledge

which children get by observing their physical environment, se…

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…

Subitizing

Cardinality principle

Join

Separate

The ability to just see it ... I.e.: rolling a dice and knowing 5…

Connection between last number counted and amount the set has.

3 quantities: start amount, change amount, resulting amount.…

Start amount is whole or largest amount and change amount is b…

Subitizing

The ability to just see it ... I.e.: rolling a dice and knowing 5…

Cardinality principle

Connection between last number counted and amount the set has.

Distributive Property

Addition

Subtraction

Multiplication

a property indicating a special way in which multiplication is…

the process or skill of calculating the total of two or more n…

the process or skill of taking one number or amount away from…

Repeated addition

Distributive Property

a property indicating a special way in which multiplication is…

Addition

the process or skill of calculating the total of two or more n…

Place Value

Closure

Commutative property

Associative property

expanding a number by powers of ten... ex. 456=4

**10^2+5**10+6*1If you add (multiply) two numbers of a set then the sum (produ…

changes the order of the numbers... ex. 3+4=4+3

changes the groups (what is inside the parenthesis)... ex 3+(4+5)…

Place Value

expanding a number by powers of ten... ex. 456=4

**10^2+5**10+6*1Closure

If you add (multiply) two numbers of a set then the sum (produ…

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

Complex number

Ordinal number vs Cardinal number

Roots of quadratic equation

7! (Seven factorial)

Cardinal Number... a number that says how many of something there…

7 x 6 x 5 x 4 x 3 x 2 x 1

Complex number

Ordinal number vs Cardinal number

Cardinal Number... a number that says how many of something there…

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

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Addition

Subtraction

Multiply

Divide

bringing two or more numbers (or things) together to make a ne…

taking one number away from another.

The basic idea of multiplying is repeated addition.

To divide is to split into equal parts or groups. It is "fair…

Addition

bringing two or more numbers (or things) together to make a ne…

Subtraction

taking one number away from another.