Class Seminar: Application of Mathematics?



In what ways do mathematics affect our lives? (Consider things like  human-based computing, statistics and probability, applied mathematics). When can information be considered property that can be protected by formal laws?

What do visual elements (pattern, shape, size, proportion, texture, color, and proximity of buildings) contribute to the identity of a city? 

References:
  • http://en.wikipedia.org/wiki/Applied_mathematics
  • http://www.ams.org/notices/200111/rev-blank.pdf
[Read More...]


Numbers and Counting through Ten



Counting to ten with numbers:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Counting to ten with words:
one, two, three, four, five, six, seven, eight, nine, ten

Counting to ten with objects:

first ten (10) numbers and the quantities they represent


Counting allows us to know the total number of things or objedts in a group. In order to do so, we separate the items from the group one by one, and we the next larger number to each item removed, till none is left and the total number is discovered.

In other words, counting is answering: how many? Beforehand, in order to count, we must know the unique numbers which identify each quantity of things.


Source: http://321math.blogspot.com
[Read More...]


English - Vietnamese Math Glossary: A



English - Vietnamese Math Glossary: A

aboutkhoảng chừng
above ở trên
asolute valuegiá trị tuyệt đối, trị số tuyệt đối
accuratechính xác
accurately label workcông việc có nhãn hiệu chính xác




act it outlàm
acute anglegóc nhọn
acute triangletam giác nhọn
addcộng, tính cộng
addend phần hay số được cộng thêm vào
additionphép cộng, tính cộng, cộng, toán cộng
addition factcơ sở lập luận của phép cộng
addition sentencemệnh đề phép cộng
addition signdấu cộng
additive inversesphần nghịch đảo tính cộng
after sau, sau khi
afternoon buổi trưa
algebra đại số
algebraic expression biểu thức đại số
algebraic patterns khuôn thức đại số
algebraic relationship mối liên hệ đại số
algebraic relationships các sự liên hệ đại số
algebraically có tính chất đại số
alike giống nhau
all tất cả
all together chung tất cả
almost gần, hầu như
amount số lượng
analog clock đồng hồ có kim chỉ giờ và phút
analyze phân tích
angle (∠) góc
angle adjacent góc kề
answer đáp số, kết quả, trả lời
ante meridian (a.m.) trước giờ ngọ (trước 12 giờ trưa)
application sự áp dụng
apply áp dụng
approach giải (bài toán), đạt tới (kết quả)
appropriate mathematical language từ toán học thích hợp
organize work xếp đặt bài toán, công việc
arc cung
area diện tích
argument lập luận, bàn luận
argument conjecture counterexample dẫn chứng dựa trên lập luận phỏng đoán
arithmetic (numeric) expression biểu thức số học
arithmetic expression biểu thức toán học
arrange xếp đặt, sắp xếp
array mảng, chuỗi số sắp theo thứ tự
as long as miễn là, với điều kiện là
associative property đặc tính liên kết
attribute liên hệ, trực thuộc
autumn (fall) mùa thu
average trung bình
axis (axes)trục

Source: http://321math.blogspot.com
[Read More...]


How to Make Addition - Subtraction - Multiplication - Division War?



Game: Addition War

Goal: 1 – The learner will read write, model, and compute with rational numbers

Materials:  directions; a deck of cards with 4 each of the numbers 1 through 10 (available on-site); paper (preferably graph paper); pencil

Procedure
:    In problem solving, it might be helpful to think about solutions and answers as two different things. An answer is the final result to a problem, while a solution presents both the answer and the strategy by which it was found.


- Follow the directions on the worksheet, playing several rounds with the student.
- This activity is excellent for basic practice until student commits the basic facts  to memory.

Materials  1 deck of cards with 4 each of the numbers l through 10

Number of players 2-4

Object of the game To collect the most cards.

Directions Shuffle the cards and place the deck number-side down on the 
playing surface.

Each player turns over 2 cards and calls Out the sum of the 2 numbers. The player with the largest sum wins the round and takes all the cards. In case of a tie for the largest sum. each tied player turns over 2 more cards and calls ouT the sum. The player with the highest sum wins the round and takes all the cards from both plays.

Answers can be checked with an Addition Table or with a calculator.

Play continues until there are too few cards left for each player to have another turn. The player who took the most cards wins. Or, players may toss a penny to determine whether the player with the most or the fewest cards wins.

Variation Each player turns over 3 cards and finds the sum.

Advanced version Players turn over 4 cards, form two 2-digit numbers, and find the sum. Players should consider how they form their numbers since different arrangements have different sums. For example, a player turns over 2, 5, 7, and 4. 74 +  52 has a greater sum than 25 + 47. 
Game: Subtraction War

Goal: 1 – The learner will read write, model, and compute with rational numbers

Materials:    directions; a deck of cards with 4 each of the numbers 1 through 10 (available on-site); paper (preferably graph paper); pencil

Objective(s):     The learner will compute with rational numbers (Goal 7).

Materials:  directions; a deck of cards with 4 each of the numbers 1 through 10 (available on-site); paper (preferably graph paper); pencil

Procedure:    In problem solving, it might be helpful to think about solutions and answers as two different things. An answer is the final result to a problem, while a solution presents both the answer and the strategy by which it was found.
- Follow the directions on the worksheet, playing several rounds with the student.         
- This activity is excellent for basic practice until student commits the basic facts to memory.

Materials  1 deck of cards with 4 each of the numbers l through 10

Number of players 2-4

Object of the game To collect the most cards.

Directions Shuffle the cards and place the deck number-side down on the playing surface.


Each player turns over 3 cards, finds the sum of any two of the numbers, then finds the difference between the sum and the third number. The player with the largest difference takes the cards.

Example:

A 4, 8, and 3 are turned over. There are 3 combinations that will result in a positive number.
              4 +    8 = 12: 12     - 3     = 9
    3 + 8 = 11: 11 - 4 = 7   
    3 + 4 = 7  :   8 - 7 = 1
Advanced version  Players turn over cards, form two 2-digit numbers, and find the difference. Players should consider now they form their numbers. 75 - 24  has a greater difference than 57 - 42.

Game: Multiplication War

Goal: 1 – The learner will read write, model, and compute with rational numbers

Materials:  directions; a deck of cards with 4 each of the numbers 1 through 10 (available on-site); paper (preferably graph paper); pencil

Procedure:    In problem solving, it might be helpful to think about solutions and answers as two different things. An answer is the final result to a problem, while a solution presents both the answer and the strategy by which it was found.
- Follow the directions on the worksheet, playing several rounds with the student.         
- This activity is excellent for basic practice until student commits the basic facts to memory.

Materials  1 deck of cards with 4 each of the numbers l through 10

Number of players 2-4

Object of the game To collect the most cards.

Directions Shuffle the cards and place the deck number-side down on the playing surface.

The game is played the same way as Addition Top-it,  except that players find the product of the numbers instead of the sum. The player with the largest product wins the round and takes all the cards.

Answers can be checked with a Multiplication Table or with a calculator.

Variation:  Players turn over 3 cards. form a 2-digit number and multiply by the remaining number.

Game: Division War

Goal: 1 – The learner will read write, model, and compute with rational numbers

Materials:  directions; a deck of cards with 4 each of the numbers 1 through 10 (available on-site); paper (preferably graph paper); pencil

Procedure:    In problem solving, it might be helpful to think about solutions and answers as two different things. An answer is the final result to a problem, while a solution presents both the answer and the strategy by which it was found.
- Follow the directions on the worksheet, playing several rounds with the student.
- This activity is excellent for basic practice until student commits the basic facts to memory.

Materials  1 deck of cards with 4 each of the numbers l through 10

Number of players 2-4

Object of the game To collect the most cards.

Directions Shuffle the cards and place the deck number-side down on the playing surface.

Each player turns over 3 cards and uses them to generate division problems as follows.

Choose 2 cards to form The dividend. Use the remaining card as the divisor.

Divide and drop the remainder. The player with the largest quotient wins the round and takes all the cards.

Advanced version Turn over 4 cards and choose three of them to form a 3-digit number. Divide it by the remaining number. The arrangement of the numbers may result in a greater quotient. For example: 462/5 is greater than 256/4, but 654/2 is even greater.
[Read More...]


Arithmetics Skills Test: Time, Patterns, Multiplication (Basic Facts)



Skills:  Time, Patterns, Multiplication (basic facts)


1. David James and Pitter Pan began watching a movie at 3:30.  The movie ended at 4:45.  How long was the movie? Look at a clock with hands if you need help figuring this out.
______ hours and ______  minutes long



2. Leah’s dog, Belle, buried 5 bones in the backyard on Monday.  On Tuesday, she buried 7 bones in the  backyard.  On Wednesday, she buried 9 bones.  If the pattern continues, how many bones will Belle bury on Saturday?   Make a table to help you find your answer.
Look at a clock with hands if you need help figuring this out.





3. John had two dozen fishing lures.  His father had four dozen lures. How many lures did they have in all? Show your work and label your answer.
Make a table to help you find your answer.


4. There were 8 cars in the parking lot.  Each car had 4 tires.   How many tires were in the parking lot? Show your work and label your answer.
Show your work and label your answer.



5. There were six ice skaters on the ice rink.  Each skater had two skates on.  How many skates were there in all?
Show your work and label your answer.


Sourse: http://321math.blogspot.com 
[Read More...]


How to make Long Division with Remainders?



When we are given a long division to do it will not always work out to a whole number.
Sometimes there will be numbers left over. These are known as remainders.

e.g: 435 ÷ 25 

4 ÷ 25 = 0 remainder 4 The first number of the dividend is divided by the divisor.

The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 0 = 0 The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.
4 – 0 = 4 Now we take away the bottom number from the top number.

Bring down the next number of the dividend.
43 ÷ 25 = 1 remainder 18 Divide this number by the divisor.

The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 1 = 25 The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.
43 – 25 = 18 Now we take away the bottom number from the top number.

Bring down the next number of the dividend.
185 ÷ 25 = 7 remainder 10 Divide this number by the divisor.

The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 7 = 175 The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.
185 – 175 = 10 Now we take away the bottom number from the top number.


There is still 10 left over but no more numbers to bring down.

With a long division with remainders the answer is expressed as 17 remainder 10
as shown in the diagram
[Read More...]


Teaching Long Division and Double Division



"Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative.
 
Double Division does not depend on memorizing the multiplication facts or estimating how many times one number goes into another. It may take 50% longer, but it is far less frustrating and probably easier to understand than Long Division.
 
It's Easy!
Step 1 - Double, double, double.
Step 2 - Subtract off multiples.
Step 3 - Add up your answer."

References:
  • http://www.doubledivision.org
  •  http://en.wikipedia.org/wiki/Long_division
[Read More...]


 
Return to top of page Copyright © 2010 Copyright 2010 (C) Cool Maths - Cool Math - CoolMath4Kids - Cool math games - Free Math Games for Kids of All Ages - Math Cool Games for Kids - Maths Games - Cool Math for Kids - Maths Games - Cool Maths Games for kids Coordinates www.thecoolmath.info. All right reseved.