Term
| 5 Principles for Rational Counting |
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Definition
Stable Ordering Principle
One to one correspondence/matching
Total Number Principle
Different Objects Principle
Different Order principle |
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Term
5 Principles for Rational Counting
*Stable Ordering Principle* |
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Definition
| They continuously count the same way. |
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Term
5 Principles for Rational Counting
*One to One correspondence* |
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Definition
| There is one object for each number. |
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Term
5 Principles for Rational Counting
*Total number principle* |
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Definition
| They know the last number. |
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Term
5 Principles for Rational Counting
*Different objects principle* |
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Definition
| Even if all buttons are not exactly the same they still have to be counted. |
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Term
| 5 Principles for Rational Counting |
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Definition
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Term
5 Principles for Rational Counting
*different order principle* |
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Definition
| Count objects in different ways (3 triangles count them 1,2,3 or 3,1,2) |
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Term
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Definition
| Comparison, "equal" shares, shaded/unshaded, denominator size (larger = smaller), numerator, zero denominators, teaching symbols too soon, the word half. |
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Term
Small Number Relations
*Spatial Relationships* |
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Definition
| Use dot plates...they are to recognize the patterns on it without counting them. |
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Term
Small Number Relations
*One and two more* |
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Definition
| Use dominos. If you have a 3 on the domino tell them they can play if they have one that is 2 more..or 2 less...etc. |
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Term
Small Number Relations
*Anchoring 5 to 10* |
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Definition
| Ten frame flash. How many dots are shown? It is ? more than 5 and ? less than 10. |
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Term
Basic Fact Strategy: Addition
* One-More-Than and Two-More-Than Facts* |
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Definition
| A direct application of one-more-than and two-more-than relationships.( ex: 8 + 2 = 10 are easy) |
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Term
Basic fact strategy: Addition
Doubles |
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Definition
| * Doubles: Alexis and Nicholas each got 7 cards for Valentine’s Day. How many cards did they get together? |
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Term
Basic Fact Strategy: Addition
Almost Doubles |
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Definition
| * Near- Doubles: These are also called the “double-plus-one” facts and include all the combinations where one addend is one more than the other. |
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Term
Basic Math Strategy: Addition
Make-Ten Extended |
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Definition
| * Make-Ten Extended: For 7 +4, the idea is 7 and 3 more makes 10 and 1 left is 11 |
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Term
Basic Fact Strategy: Subtraction
*Five and Ten Frame Facts* |
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Definition
5+5= 10 >>> 10-5=5
4+6= 10 >>> 10-4=6 |
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Term
Basic Fact Strategy: Subtraction
*Equal Addition* |
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Definition
| Example: 61- 14 Add 6 to both numbers to make a friendly 20 on the bottom |
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Term
Basic Fact Strategy: Subtraction
*Think Addition* |
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Definition
| 10-6... what plus 6 equals 10? |
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Term
Basic Fact Strategy: Multiplication
*Doubles* |
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Definition
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Term
Basic Fact Strategy: Multiplication
*Clock Facts* |
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Definition
| Groups of 5 around the clock |
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Term
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Definition
| Children focus on gettting the answer |
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Term
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Definition
| Connected as closely as possible to real life rather than school math. To make math real world to them |
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Term
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Definition
| Slit plates to study for clocks. Base ten bean cards. Proportional money. |
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Term
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Definition
1.Dynamic Principle
2. Perceptual Variability
3. Mathematical Variability Principle
4. Constructivit Principle |
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Term
Dienes Principle
*Dynamic Principle* |
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Definition
Given manipulatives.
1. Unstructured play
2. Structured play
3. Formalized concept |
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Term
Dienes Principle
*Perceptual Variability* |
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Definition
| They need to know if it looks different they are all still the same. Large, small, colors. |
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Term
Dienes Principle
*Mathematical Variability* |
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Definition
| Half can be represented in many different ways. Circle in half. Rectangle in half. Words in half. Seeing it in as many ways as possible. |
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Term
Dienes Principle
*Constructivity Principle* |
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Definition
| Move things from concrete to abstract. |
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Term
| 4 Childrens Books & Activities |
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Definition
100th Day of School: Count school days with straw Bundles
Earth Day-Hooray:
Full House: An Invitation to Fractions
Divide Ride |
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Term
| Why you provide literature in math? |
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Definition
Help struggling students.
to make math more fun and exciting
to relate math to the real world.
to review or introduce a skill. |
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Term
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Definition
Should have:
PASS
Objectives
Interdisciplinary Ties
Adaptations for students |
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Term
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Definition
ELL Help
Assessments
Variety of people pictured
Remediation tips
Address blooms taxonomy. |
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Term
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Definition
Slit plates and fraction cards.
Have studetns guess the size of a fraction piece and then match it with a labeled one to check
Pizza fractions |
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Term
| Algorithm: Expanded With Words |
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Definition
Can use with any of them.
478-32
4 hundred 7 tens 8 ones
0 hundreds 3 tens 2 ones |
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Term
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Definition
| Equal Addition: Adding a number to the problem to make it a friendly number. (end in zero) |
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Term
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Definition
Partial Sum
87+9 =
8(7 + 9)= 80 + 16 |
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Term
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Definition
| Partial Quotient: this is estimating. |
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Term
| Algorithm: Multiplication |
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Definition
| Partial Product. 28 x 3= 24 + 60= 84 |
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Term
| Ordering Problem Diff.: Addition |
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Definition
| Basic facts, Less than 10, Ten facts, Sums greater than 10, No regroup, regrouping with double, triple digits. |
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Term
| Ordering Problem Diff.: Subtraction |
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Definition
Facts with Zero,
One less than,
2 Less than, f
act families,
5 & ten frame facts,
doubles,
near doubles,
no regrouping,
regrouping |
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Term
| Ordering Problem Diff.: Multiplication |
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Definition
Twos,
Clock Facts,
Ones,
Threes,
Fours,
Multiples of 9s,
Single digit times 10 or 100,
Double digit x double digit |
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Term
| Compare & Contrast Proportional and Non-Proportional Models |
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Definition
Proportional: You see what they represent
Non: You can't see what it represents. |
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