Mathnasium Instructor Level 2 Training Flashcards

Flashcards reviewing key terms and concepts from Mathnasium Level 2 training materials, focusing on Direct Teaching, Socratic Questioning, Counting, Wholes and Parts, Proportional Reasoning, Quantity and Denomination, and the Law of SAMEness.

A conventional approach to instruction where the instructor states key information directly to the student.

Direct Teaching

Using a question or series of questions to guide a student to an answer. Allows the instructor to draw out knowledge the student may not be aware they have.

Socratic Questioning

Important part of Instructor Training, knowing how to implement Direct Teaching and Socratic Questioning.

Understanding Teaching Methods

Conventional approach to teaching; Instructors are usually more comfortable with it.

Direct Teaching comfort level

Method of instruction that takes more training.

Socratic Questioning training

Language used by the instructor in explanations.

Construct Language

Used to see if the student understands what the instructor is teaching.

Check for Understanding

Helps a student demonstrate their understanding of a concept.

Talya's questions

Being able to move from Direct Teaching to Socratic Questioning.

Transition between teaching methods

What the student already knows before learning a new concept.

Preexisting Knowledge

How the instructor builds upon what the student already knows.

Extend Knowledge

A way to help a student understand math.

Direct Teaching

A way to help students by asking them questions that enable them to lead themselves to the answer.

Socratic Questioning

Key to unlocking addition and subtraction in early math development.

Counting

Goal is to have a student become comfortable with counting up or down by any number, starting at any number, forward and backward.

Mathnasium Goal with Counting

Adding that number each time.

Counting by a number

Subtracting that number each time.

Counting backward by a number

Adding up to the next 10s number, and then adding the leftovers.

Counting by - Up to and Over Multiples of 10

Adding 10 first and then adding or subtracting something else.

Counting by ADDING 10 first

Continuing number patterns, need to ask yourself, how do you get from one number to the next number?

Continuing Number Patterns

A number sequence in which each term is the sum of the two preceding terms.

Fibonacci Sequence

Used to show numbers.

Number lines

A chart that displays numbers in a grid format, typically from 1 to 100.

Hundred Chart

Numbers divisible by 2.

Even Numbers

Numbers not divisible by 2.

Odd Numbers

4, five times.

4 times 5

The answer to a multiplication problem.

Product

When multiplying, the answer is the same if the numbers we are multiplying switch places.

Turnaround Facts

How many of 'these' are there inside of 'that'?

Division

Multiplying the first number by the reciprocal of the second number.

Dividing a Whole Number by a Proper Fraction

Dividing into equal parts and taking some of the parts.

Finding Fractional Parts

Finding the whole when only given a fraction of the total.

Fractional Parts - Finding the Whole

The law that states we can only add and subtract things that are of the same denomination, things that have the same name.

Law of SAMEness

Multiplying the number of possibilities for each event together.

Fundamental Counting Principle

A sequence of numbers in which the difference between any two consecutive terms is constant.

Arithmetic Sequences

Critical to the development of a student's number sense.

Wholes and Parts

The whole is equal to the sum of its parts. Any part is equal to the whole minus all of the other parts.

Wholes and Parts

Break up the number into two parts so that one of the parts plus the other number equals 10.

Addition: Up to and Over 10

Add up to the next 10s number and add the leftovers.

Addition: Up to and Over Multiples of 10

Adding a number that is close to 10 by adding 10 first.

ADDING 10 first

Putting a problem into its basic components to find the different parts.

Wholes-Parts Analysis

Breaking up the number so it is easy to find.

Finding Half of Numbers

Finding the whole if only half of it is known.

Finding the Whole

Finding part of a whole.

Fractional Parts

The parts that make up a whole.

Identifying Wholes and Parts

Working with things like money to come up with a value.

Making Change

Dividing into portions.

Portioning

A word problem where you have to mix things together to get a certain value.

Mixture Problems

The number of square inches that fit inside each rectangle.

Area of a Rectangle

The amount of units around an object.

Perimeter of a Rectangle

Angle whose measure is greater than 180° but less than 360°.

Reflex Angle

The sum of the interior angles of a convex N-gon = (N – 2) × 180°

N-Sided Polygons

Establishing a fundamental concept that will eventually lead to a stronger understanding of critical concepts like ratios, proportions, direct and indirect variation, and algebraic reasoning.

Proportional Thinking

Examining ratios of physical objects or quantities.

Reasoning in groups

How many legs do 3 cats have?

How many legs

A store gives away 1 milk carton for every package of 4 cookies sold.

A store

A scale drawing.

Scale drawing

Multiply the coins by the value and then dividing by the value of the coin to which they are converting.

Converting coins

For each 100.

Percent

For Each 100.

For Each 100.

Percent.

Direct Percent

Key Percentages.

Special Percents

Convert to a decimal and multiply by 100.

Converting Fractions to Percents

Converting Percents.

Converting Percents

Finding Ratios.

Reducing Ratios

Compare the values of ratios.

Comparing Ratios

Finding a Part.

Part

Solving ratio.

Solving Ratio

Multiplying to get amount need.

Amount needed

Finding out number of Photos.

Finding Photos

Proportion = Statement that two ratios (fractions) are equal.

Proportion

Proportion Setup.

Setting Up Proportions

A rate is a type of ratio.

Finding Unit Rates

Scale-Up.

Scale Factor

Divide the other quantity is constant.

Direct Variation Equations

X-Y Axis.

X-Y Axis

Same size not the same shape.

Similar

Think Proportionally.

Proportional Thinking

Sine-Cosine-Tangent Ratios.

Trig Ratios

Use Formula.

Law of Sines

how many or how much?

quantity

of what?

denomination

Important step towards building Number Sense.

Quantity and Denomination

Building Blocks.

Place Value

A cube. Let's call it a “one.” When you group 10 ones together, we can call it a “ten.

Quantity and Denomination

Value of Place.

Decompising values

Break 1 hundred into 10 tens.

Place Value Exercise

Tells you the value of the places.

Identifying

Compare with different names.

Decimals

Value of each place.

Compare Place Value

How name a decimal.

Numbers

Whats has the biggest piece.

Biggest Pieces

Name the Numbers

De-Nome-Nator

Reduce the Values

Values

Find the equvalent coins amount.

Coins

Measurment-

Units of Capacity and Equivalence

Pounds and More.

Wholes & Parts of Mixtures

A rate is a type of ratio that compares two quantities with different units of measure by division.

Rate & Unit Rate

Add & Subtract the Same Name.

Law of SAMEness

Have Same Name.

Law of SAMEness