It is large or it is thick.
It is a rectangle or it has sides.
It is red or it is large.
It is thin or it is a square.
It is yellow or it is not red.
It is a rectangle or it is blue.
It is a sq
Extra Credit: George Polya
George Polya is a Hungarian mathematician. In 1945, he published a book titled How to
Solve It. In his book, he mentions four different principles. The first principle is understanding
the problem. He
MTH 204: Developing Fraction Sense Counters
A. Place the following sets of counters on your desk. What fraction of each set is
red? blue? green? yellow?
1. Set #1: 4 red, 5 blue, 3 green, 7 yellow
2. Set #2: 4 red, 12 blue
3. Set #3: 4 red, 5 blue, 3 gree
MTH 204: Addition and Subtraction of Fractions
Use manipulative sets to model each of the following addition and subtraction problems. Keep in
mind that we want your actions to somehow lead you in the direction of the algorithms used to
add and subtract f
Constance Kamii Reflection Paper
Constance Kamii, a professor of Early Childhood Education, believes that children are
being harmed by memorizing the rules. During the interview, she explains that traditional
teaching hurts a ch
MTH 204: Fraction Sense with Cuisenaire Rods
Make all possible one color trains that have the same total length as the orange-red train
Create and answer at least 10 good fraction sense questions if the orange-red train represents
Quantitative Relationships (Multiplication)
For problems 1 14, determine whether the problem can be solved by multiplication of two
fractions: 1/2 x 1/4. If not, explain why not, and explain how the problem should be solved if there
is enough info
MTH 204: Attribute Blocks #3
Mystery Attribute Blocks
Work with the 48-block sets of attribute pieces (minus all hexagons, but has both the thick and
thin pieces) to identify the ONE attribute block for the following riddles. Sort the set according
to a s
Calixto, P. (2004) Grupo de Investigacin TeLoYDisRen
Gregorio Saravia, A. (2000). Probabilidad e Inferencia Estadstica, 2da Edicin
M, Jos. (2005) Estadstica II Inferencia Estadstica, Edicin Revisada Casa Snchez
Fernndez, C. (1992). Probabilida
Quantitative Relationships (Addition & Subtraction)
For problems 1 8, determine whether the problem can be solved by adding 1/2 and 1/3. If not,
explain why not, and explain how the problem should be solved if there is enough information to
Quantitative Relationships (Partitioning & Quotients)
Create a realistic story problem that can be solved by computing the quotient 4 2 8.
Some children were asked to think about the this problem: 1 3. Troy, Carson, Grace and
Lindsay, the fi
Standards for Mathematical Practice
The first standard for mathematical practice is based on understand the problem fully and
never giving up while striving for the solution. When I was younger, the teacher would help us
The goal of Nim is to get to zero. If the number you are given is 17 and you can either
subtract 1, 2, or 3, you would want to go first. Your goal is to get to 4 because if you because if
you subtract 3 from 4 you w
Down the Drain Redo
4. Solve the Problems
b. No, the water will never drain completely because if the faucet is running, water will still be
going into the tub. The only way it would drain completely is if the faucet is turned o
The Egg Problem
After many tries, I finally figured out how to do the egg problem. I believe that Chris
started out with seven eggs. If Chris sells half the eggs plus half an egg to Maria, he would give
Maria four eggs and woul
The correct answer for this mastermind challenge is 6714. I got this answer because from
guess #2, 3 of those numbers were correct and in guess #3, only one of those numbers was
correct. The number that was c
It is large or it is thick. (eliminate 15, 45 left)
It is a rectangle or it has sides. (eliminate 9, 36 left)
It is red or it is large. (eliminate 8, 28 left)
It is thin or it is a square. (eliminate 12
MTH 204: Attribute Blocks #2
The Vocabulary of Sets
The vocabulary of sets and, or, and not. Use the 48-block sets (no hexagons) to show all
blocks that satisfy each clue. Start over with a complete set of 48 for each new problem.
1. It is large and it is
Down the Drain
a. Faucet rate in
b. Size of the tub
c. Drain rate (out)
d. Time with just faucet
e. Time with both faucet and drain
f. Water (after 4 minutes)
2. . Values
a. 4.5 gallons per minute
c. 6.3 gall
MTH 204: Attribute Blocks #1
Work with a partner and 48-block sets (no hexagons) to solve the following problems.
Have each solution checked before moving on to the next matrix.
1. The first person should place an attribute block on any
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