Seventh Blog

Fractions

Learning about fractions can prove to be quite difficult for many children.  There are so many rules when adding, subtraction, multiplying, and simplifying fractions, it is no wonder many children might feel frustration when trying to learn fractions.   It seems that much of the confusion might stem from not really understanding what the fraction actually stands for, or how much it is worth.  For many students it can also be mind boggling when the denominators are different.

The trick then is how to make fractions make sense for kids.  Many students need concrete materials to understand the concept of fractions.  Students need to understand that a fraction really just means a part of a whole.  Teachers can introduce the words numerator and demominator, though I think for elementary students the focus should be for them to understand the concept of fractions.

The main point of learning fractions is the it is equal parts of a whole.  A good way to demonstrate fractions is to use hands on activities, manipulatives, and many illustrations and drawings.  Make connections to fractions with the students.  You could put them into groups of eight and have them roll out a circle of playdough the cut it into eight pieces.  Then have students tell you what part of the whole or what fraction of the playdough they have, if they each get one piece.


                                                     

  

Some ideas on teaching elementary school students about fracions.

• Use manipulatives, like blocks or triangle pieces of different colors to show different fractions.

• Let students help with recipes, they love to measure and pour ingredients, this is a great time to ask how many 1/4 cups make 1 cup.

• Take regular pieces of paper, then have the students fold it into 8 squares or more, have the students open up the paper and then label each part with the correct fractions. 

• Have a fun pizza party

• Use graham crackers to teach 1/4, 1/2, 3/4, and 1 whole piece.

Some helpful websites for teaching fractions.

http://www.conceptuamath.com/strategyintro.html

http://www.superteacherworksheets.com/fraction-cont.html

http://www.mathsisfun.com/fractions-menu.html

http://edhelper.com/fractions.htm

http://www.kidsolr.com/math/fractions.html

Fun games


http://www.sheppardsoftware.com/mathgames/fractions/memory_equivalent1.htm

http://www.primarygames.com/fractions/start.htm

http://pbskids.org/cyberchase/math-games/melvins-make-match/

http://funschool.kaboose.com/formula-fusion/number-fun/games/game_action_fraction.html

Sixth Blog

Division

Learning division for many students can be challenging, multiplication, like addition seems to be a bit easier to grasp for many children.  There is even something a little intimidating about the word division, it is a rather large word for students to process.  It is important then to explain the meaning of the word to students and to be sure they understand prior to teaching children how to divide.


Teachers can help students make connections with the word division by making up word problems and asking students questions.  If you were to ask a student a question they could relate to, it might help them to better understand division.  An example might be, "If you and your brother had a box of 10 mini donuts, how many donuts would you each get?"  I bet if you actually had a box of donuts kids would easily be able to divide them equally.  Though for some reason on paper it is difficult for students.  When you use numbers that do not divide equally, that is really a challenge for students.


Teachers and parents could help students with division if they use manipulatives and hands on activities so it makes more sense for students.  Make it fun for kids, teachers also have to have a good attitude even when students are frustrated.  Start with easier division problems so that students will gain more confidence when doing math.  Remind students that practice is the key to success.





Some ideas on teaching elementary school students about division.

• Use manipulatives, like cubes or jelly beans.
• Have students draw large circles for the numbers they are dividing by, then put a tally mark or an x in each circle for the number they are dividing.
•  Remind students that division is reversed multiplication.
•  Have students divide the class into different numbers of teams to practice division, then they get to get up and move around their room a bit.
• Teach students different algorithms.
• Partial Quotient algorithm
• Column division
• Long division

Some helpful websites for division.

http://www.ehow.com/list_7239401_division-math-strategies-kids.html

http://fivejs.com/math-strategies-multiplication-division-video-tutorial/
http://www.youtube.com/watch?v=icidesQM6Rw
http://www.coolmath4kids.com/long-division/long-division-lesson-1.html

http://www.superteacherworksheets.com/number-families-multiply-divide.html



Fun games
http://www.learninggamesforkids.com/math_division_games.html

http://www.ezschool.com/Games/FactFamily2.html

http://www.kidsnumbers.com/division.php
http://www.woodlands-junior.kent.sch.uk/maths/division.htm

Fifth Blog

Multiplication

Students start learning multiplication even earlier these days, compared to back when I was in school.  It seems they are even teaching it as early as first grade.  Kids really are much smarter now, and while I'm sure that many of the multiplication facts are not memorized by then, it is great to introduce students to multiplication.

I will say that I really enjoyed learning multiplication in fourth grade.  I liked memorizing the times tables.  I thought a few of them were easy like 0, 1, 2, 5, 10, 11 and as a kid I thought the 9's tricks were neat.  I do remember my teacher reminding the students that multiplication is adding the same number multiple times together.

There are a few different actions that teachers can remind students to help them learn multiplication.  When multiplying, the numbers can be multiplied in any order to find the answer, example 5x7=35 and 7x5=35.  Any number multiplied by zero is zero, example 8x0=0.  Any number multiplied by 1 remains that specific number, example 5x1=5.  Multiplication is basically repeated addition, example 5+5+5+5=20 and 5x4=20.

Some ideas on teaching elementary school students about multiplication.

• Use manipulatives and group same objects together.
• Have students draw arrays, and then add up the dots.
• Make sure student understand that multiplication is repeated addition.
• Have student memorize one times table at a time, prior to moving on to others.
• Teach different algorithms so students can use their preferred method.
• Lattice method
• Partial products method

Some helpful websites for learning multiplication.

http://mb.msdpt.k12.in.us/Math/Algorithms.html

http://olc.spsd.sk.ca/de/math1-3/p-mentalmath.html

http://www.teachourkids.net/multiplication.html

http://www.teachertube.com/viewVideo.php?video_id=1603

http://www.dadsworksheets.com/v1/Strategies/eight_rules_of_multiplication.html

Fun Games


http://hoodamath.com/games/multiplication.php

http://www.mathplayground.com/hm_multiplication.html

http://www.gamequarium.com/multiplication.html

http://www.mathblaster.com/parents/math-games/multiplication-games

Fourth Blog

Subtraction

There are many children that find subtraction challenging.  I remember as a child I also found subtraction much more difficult than addition.  I'm not exactly sure for the reason, though it might be because when learning about numbers and counting we learn to count upward first, not many children learn numbers by counting backwards, at least not many that I have heard. 

I have seen in the schools that I volunteer at, that they are familiarizing students with fact families.  I think this is a super idea, this strategy reinforces the connection between addition and subtraction.  I have also witnessed teachers teaching about turn around facts.  I think this is a great way to make subtraction seem less challenging for many children.

Fact families often look like triangles with three numbers. 
Then you write the fact family   3+4= 7     4+3=7      7-4=3     7-3=4

  



                                                                              




                                                         
Subtraction should not just be about memorizing the math facts, while that will come in handy, students first need to know how to solve the problems, then they can memorize the math facts.  There are many great strategies and activities to help students learn subtraction.       


Some ideas on teaching elementary school students about subtraction.

• Counting on method
• Counting back method
• Use number lines
• Use charts
• Manipulatives
• Subtraction games
• Computer interactive math games

Some helpful websites for teaching subtraction. 

http://www.teachallkids.com/node/97

http://www.youtube.com/watch?v=feRV7t5djwY

http://www.youtube.com/watch?v=4s5FaFzPK4c

http://www.mathsisfun.com/numbers/subtraction.html

http://math.pppst.com/subtraction.html

Fun Games

http://www.kidsnumbers.com/subtraction.php

http://www.playkidsgames.com/mathGames.htm

http://www.sheppardsoftware.com/math.htm

http://www.learninggamesforkids.com/math_subtraction_games.html

Third Blog

Addition

Learning and knowing basic math facts is the foundation of math.  Learning addition is one of the first steps in math after learning the names of numbers and learning how to count.  Many elementary school teachers put a great deal of emphasis on memorizing math facts.  They generally start with addition, then subtraction, on to multiplication and then division. 

When you think about it addition is such a automatic mental process.  When you want to know how much more than one object is, you simply add them up, this is usually fairly easy.  That is probably because your teacher did a great job of teaching math facts.  Learning basic addition facts makes doing addition much quicker and easier.

When I think back to learning addition math facts it was all about memorizing the addition facts, flash cards, and taking stressful timed tests.  Things are different now and teachers have great ideas for helping students learn how to add numbers together, other than just memorizing facts and using pencils and paper. 

Some ideas on teaching elementary school students about addition.

• Play math games
• Use manipulatives
• Let students work together
• Use computer interactive math games
• Go outside and find things to add
• Learn math songs
• Read stories about math

    2+2=4   7+4=11  1+4=5  3+8=11  9+5=14


Here are some helpful websites for teaching addition.

http://www.apples4theteacher.com/math/addition/

http://www.littlegiraffes.com/mathadditionsubtraction.html

http://www.teachingideas.co.uk/maths/contents_addition.htm

http://pbskids.org/games/index.html

http://pbskids.org/cyberchase/math-games/calculator/





Fun games

Race for Math
http://www.educationworld.com/a_lesson/04/lp339-01.shtml

Saved by the Bell
http://www.educationworld.com/a_lesson/04/lp339-03.shtml

Add It Up
http://www.kidsnumbers.com/add_it_up.php

Many addition games
http://www.learninggamesforkids.com/math_addition_games.html