UNCW, Karen Spike - Mathematics

Web Links

The National Council of Teachers of Mathematics is a good source for information on teaching mathematics. In the spring of 2000 they published Principles and Standards for School Mathematics. Click on the link for this website, then explore what is available. The electronic examples have many interactive activities that I think you will find interesting. http://www.nctm.org/standards/content.aspx?id=16909

The NCTM Illuminations website has many math activities and lesson plans: http://illuminations.nctm.org
Selected Web Links are useful mathematics education resources on the Internet. Each resource has been approved by an editorial board. They can be used to improve the teaching of mathematics: http://illuminations.nctm.org/Weblinks.aspx

The North Carolina Council of Teachers of Mathematics: http://www.ncctm.org/

The North Carolina Department of Public Instruction has many interesting things available on the web. http://www.ncpublicschools.org/
The following site will provide information on the curriculum for kindergarten through 12 grade as well as instructional resources for all those grade levels.Click on the link below to see the North Carolina Standard Course of Study and Grade Level Competencies; select mathematics and grade level. http://www.learnnc.org/scos/
For information on End of Grade testing, click on the following link and then click on the link for "Testing" http://www.ncpublicschools.org/curriculum/mathematics/

Shodor.org lists of lessons by topic and grade level: http://www.shodor.org/interactivate/lessons/
Click on the topic you want and then explore the possible lessons.

The InterMath curriculum is meant to engage teachers and is intended to deepen teachers' understanding of mathematical concepts related to the middle school curriculum. http://intermath.coe.uga.edu/

The Interactive Mathematics Dictionary is a dictionary for middle school students, teachers, parents, and anyone else interested in learning more about mathematical topics in the middle school curriculum. http://intermath.coe.uga.edu/dictnary/homepg.asp

Source for manipulatives for "hands-on" learning: http://www.mathlearningcenter.org

The Mathematical Moments program promotes appreciation and understanding of the role mathematics plays in science, nature, technology, and human culture. Download this series of pdf files to use as teaching resources and to promote awareness of mathematics to students, colleagues, and attendees at meetings and special events. http://www.ams.org/mathmoments
The poster style discussions are great for classroom bulletin boards!

The following sites are good general sites where you can find information on a variety of mathematical concepts!

http://www.sosmath.com/wwwsites.html -- an extensive compilation of web sites related to mathematics
http://www.coolmath.com/ -- great site for students, teachers and parents -- fun format for lessons on a wide variety of topics
http://www.coolmath4kids.com/ -- this is part of the "cool math" website with a colorful index to find topics in elementary mathematics
http://www.coolmath.com/reference/online-math-dictionary.html -- This is an easy to use dictionary with lots of math concepts for elementary or middle grades students.
http://britton.disted.camosun.bc.ca/jbfunpatt.htm -- "selected web pages for educators, each leading to recreation-orientated learning experiences for middle school students."
http://mathforum.org/ -- "the leading online resource for improving math learning, teaching, and communication since 1992."
http://mathforum.org/dr.math -- a great resource for students to find answers to their questions.
http://mathworld.wolfram.com/ -- extensive resource for "higher level" mathematics
http://archives.math.utk.edu/ -- a wide range of resources for K-12 and college level mathematics
http://www.webmath.com -- an online resource for students questions about their homework
http://www.aaamath.com -- links to online help and activities for many math topics
http://www.mathexpression.com/ -- links to lessons and videos for math topics

http://www.khanacademy.org/ -- Link to information about the Khan Academy (with additional links to videos & exercises on many educational topics).
http://www.khanacademy.org/#arithmetic -- Link to videos that teach arithmetic concepts.
http://www.khanacademy.org/exercisedashboard?k -- Link to exercises that begin with basic arithmetic concepts then built to other concepts.

This site for the National Library of Virtual Manipulatives is one you will want to use this semester and also when you become an elementary or middle grades teacher! The site is setup in the form of a chart so you can pick the grade level and the concept for which you would like a manipulative. http://nlvm.usu.edu/en/nav/vlibrary.html
It was created during a three-year NSF supported project to develop a library of uniquely interactive, web-based virtual manipulatives or concept tutorials, mostly in the form of Java applets, for mathematics instruction (K-8 emphasis).
Listed in Bold print in the table below are a variety of e-manipulatives from the chart that will be helpful with various topics this semester.

The following are some samples of the many websites available which are related to the specific topics that we are studying in Math 141 and Math 142. They can be used with many different textbooks, but I have classified them by the chapters in the text that I use.

Textbook: Mathematics for Elementary Teachers by Musser, Burger & Peterson.
Math 141 Chapter 1 Chapter 2 Chapters 3 & 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9

Math 142 Chapter 10 & 11 Chapter 12 Chapter 13 Chapter 14 Chapter 16

Math 141 topics
Chapter 1 -- Problem Solving
Information about George Polya	http://www.drkhamsi.com/classe/polya.html http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Polya.html
Color Patterns e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_184_g_1_t_1.html?from=category_g_1_t_1.html
Chapter 2 -- Sets & Number Systems	Return to Top of page
Venn Diagram e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_153_g_3_t_1.html?open=instructions
Fibonacci, Roman numerals, algorithms for base ten arithmetic, Fibonacci sequence	http://www.barcodesinc.com/articles/fibonacci-numbers.htm http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibBio.html
Roman numerals	http://mathforum.org/dr.math/faq/faq.roman.html
Mayan math	http://www.mayacalendar.com/f-mayamath.html
Babylonian numerals	http://www-history.mcs.st-andrews.ac.uk/history/HistTopics/Babylonian_numerals.html
other number bases	http://mathforum.org/dr.math/faq/faq.bases.html
Multi-Base blocks e-manipulative to represent numbers in various bases	http://nlvm.usu.edu/en/nav/frames_asid_152_g_2_t_1.html
Base 5 Blocks Cut-Outs	http://mason.gmu.edu/~mmankus/Handson/base5.htm
Base 10 Blocks Cut-Outs	http://mason.gmu.edu/~mmankus/Handson/b10blocks.htm
Chip Abacus e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_209_g_2_t_1.html?open=activities
binary numbers (base two)	http://britton.disted.camosun.bc.ca/jbbinflag.htm
What are functions?	http://www.coolmath.com/algebra/Algebra1/14Functions/01_whatarethey.htm
Function Machine e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_191_g_3_t_1.html
Chapters 3 & 4 -- Whole Numbers	Go back to Math 141 Return to Top of page
"fun numbers" that are powers of ten	http://www.straightdope.com/mailbag/mgazilli.html
Cool Math lessons on addition See lesson 7 for "scratch addition"	http://www.coolmath4kids.com/addition/
Cool Math lessons on subtraction	http://www.coolmath4kids.com/subtraction/index.html
Cool Math lessons on multiplication (includes "four-fact families")	http://www.coolmath4kids.com/times-tables/
Cool Math lessons on long division	http://www.coolmath4kids.com/long-division/index.html
Lattice method for multiplication	http://www.ualr.edu/lasmoller/medievalmult.html http://coolmath4kids.com/times-tables/times-tables-lesson-lattice-multiplication-1.html
e-manipulative for number line arithmetic for +, -, x and divide	http://nlvm.usu.edu/en/nav/frames_asid_197_g_2_t_1.html?open=activities
Number Line Bar e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_180_g_2_t_1.html?open=activities
Base blocks e-manipulative for addition	http://nlvm.usu.edu/en/nav/frames_asid_154_g_2_t_1.html Click on "Create a Problem" to choose a non-decimal base.
Base blocks e-manipulative for subtraction	http://nlvm.usu.edu/en/nav/frames_asid_155_g_2_t_1.html Click on "Create a Problem" to choose a non-decimal base.
Understanding & practice with rules for exponents	http://www.coolmath.com/algebra/01-exponents/index.html
Understanding rules for working with exponents	http://www.mathexpression.com/exponent-rules.html
Chapter 5 -- Number Theory	Go back to Math 141 Return to Top of page
Sieve of Eratosthenes e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_158_g_2_t_1.html?open=instructions
Prime numbers	http://mathforum.org/dr.math/faq/faq.prime.num.html http://mathworld.wolfram.com/PrimeNumber.htm/
Prime factorization	http://mathforum.org/library/drmath/sets/elem_prime_numbers.html http://mathforum.org/dr.math/problems/prime.fac.html
Summary of divisibility rules	http://www.mathgoodies.com/lessons/vol3/divisibility.html http://mathforum.org/dr.math/faq/faq.divisibility.html
Why divisibility rules work	http://mathforum.org/k12/mathtips/division.tips.html http://mathforum.org/k12/mathtips/ward.html
e-manipulative for factor trees, GCF, LCM	http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html (Choose the "two" tree option in order to use a Venn Diagram and find LCM and GCF.)
Chapter 6 -- Fractions	Go back to Math 141 Return to Top of page
Understanding & Teaching fractions	http://mathforum.org/paths/fractions/e.fraclessons.html http://illuminations.nctm.org/LessonDetail.aspx?id=L284 http://www.coolmath.com/prealgebra/01-p2-fractions/index.html
e-manipulatives for fractions (below):
Number line - fractions	http://nlvm.usu.edu/en/nav/frames_asid_265_g_3_t_1.html?open=activities
Fraction pieces	http://nlvm.usu.edu/en/nav/frames_asid_274_g_3_t_1.html?open=activities
Fractions - Parts of a Whole	http://nlvm.usu.edu/en/nav/frames_asid_102_g_2_t_1.html
Fractions - Visualizing Fractions	http://nlvm.usu.edu/en/nav/frames_asid_105_g_2_t_1.html
Equivalent fractions	http://nlvm.usu.edu/en/nav/frames_asid_105_g_3_t_1.html
Comparing fractions	http://nlvm.usu.edu/en/nav/frames_asid_159_g_3_t_1.html
Adding fractions	http://nlvm.usu.edu/en/nav/frames_asid_106_g_3_t_1.html
Multiplying fractions	http://nlvm.usu.edu/en/nav/frames_asid_194_g_3_t_1.html
Chapter 7 -- Decimals	Go back to Math 141 Return to Top of page
Base Blocks for + & - decimals	http://nlvm.usu.edu/en/nav/frames_asid_264_g_3_t_1.html
Understanding decimals	http://www.coolmath.com/prealgebra/02-decimals/index.html
Chapter 8 -- Integers	Go back to Math 141 Return to Top of page
Integers (also rational and irrational numbers) Integer number line e-manipulative	http://mathforum.org/dr.math/faq/faq.integers.html http://matti.usu.edu/nlvm/nav/frames_asid_107_g_3_t_1.html
Number Line Bar e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_180_g_2_t_1.html
Chapter 9 -- Real Numbers	Go back to Math 141
Integers, rat'l and irat'l numbers	http://mathforum.org/dr.math/faq/faq.integers.html
Fractional exponents to work with roots	http://www.mathexpression.com/fractional-exponent.html
Pi, π, is an irrational number [For more information about pi, see the links below under chapter 13.]	http://mathforum.org/dr.math/faq/faq.pi.html http://mathforum.org/library/drmath/view/58288.html
What are Functions?	http://www.coolmath.com/algebra/Algebra1/14Functions/01_whatarethey.htm
Function Machine e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_191_g_3_t_1.html
Math 142 topics
Chapters 10 & 11- Statistics & Probability	Go back to Math 142 Return to Top of page
Links to various e-manipulatives for data analysis and probability	http://nlvm.usu.edu/en/nav/category_g_3_t_5.html
histogram e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_145_g_3_t_5.html?open=instructions
scatter-plots e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_144_g_3_t_5.html?open=activities
box plot e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_200_g_3_t_5.html?open=instructions
Use to introduce experimental probability	http://www.shodor.org/interactivate/activities/ExpProbability/
coin toss e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_305_g_3_t_5.html
simulation e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_146_g_4_t_5.html?open=instructions
spinner e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_186_g_2_t_5.html?open=activities
List of websites for data analysis and probability compiled by NCTM	http://illuminations.nctm.org/WebResourceList.aspx?Ref=2&Std=4&Grd=0
Website with lessons on a variety of topics	http://www.shodor.org/interactivate/lessons/ click on probability for appropriate lessons
Permutations quiz	http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-02-833052-8&chapter=12&lesson=2
Combinations quiz	http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-02-833052-8&chapter=12&lesson=3
Chapter 12 -- Geometric Shapes	Go back to Math 142 Return to Top of page
Lessons on geometry	http://www.aaamath.com/geo.html
Basic concepts in geometry, worth exploring	http://www.ies.co.jp/math/products/geo1/menu.html
Origami - paper folding - geometry	http://www.ams.org/ams/mm22s-origami.pdf http://www.merrimack.edu/~thull/OrigamiMath.html
Polygons	http://www.math.com/tables/geometry/polygons.htm -- polygon definition, angles & names http://www.mathleague.com/help/geometry/polygons.htm--definitions of types of polygons with nice pictures -- a good site elementary and middle school students http://www.mathsisfun.com/geometry/polygons.html -- similar to site above
Understanding the relationship between rectangles and parallelograms	http://standards.nctm.org/document/eexamples/chap5/5.3/index.htm
Pentagons	http://britton.disted.camosun.bc.ca/jbpentag.htm
Symmetry - snowflakes	http://www.snowflakebentley.com/ http://www.snowflakebentley.com/snowflakes.htm In the table of snowflake photos, click on any image to enlarge it and you will see the details in each snowflake!!
Symmetry - African symbols	http://www.welltempered.net/adinkra/htmls/adinkra_index.htm
Understanding tessellations (& vertex angles)	http://www.coolmath.com/lesson-interior-angles-of-polygons-1.htm and http://www.coolmath.com/lesson-tessellations-1.htm http://mathforum.org/sum95/suzanne/whattess.html
Pattern block e-manipulative for tessellations	http://nlvm.usu.edu/en/nav/frames_asid_163_g_3_t_3.html?open=activities
Tessellations -- Escher Art	http://www.mcescher.net/ http://www.mcescher.com/ http://britton.disted.camosun.bc.ca/escher/jbescher.htm
Regular polyhedra e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_128_g_3_t_3.html?open=instructions
Polyhedra	http://mathforum.com/alejandre/applet.polyhedra.html http://illuminations.nctm.org/imath/3-5/GeometricSolids/index.html http://britton.disted.camosun.bc.ca/jbpolyhedra.htm
Polyhedron	http://mathworld.wolfram.com/Polyhedron.html
Prisms	http://www.mathsnet.net/geometry/solid/prisms.html
Chapter 13 -- Measurement	Go back to Math 142 Return to Top of page
Lessons on measurement	http://www.geocities.com/smilecdg/measuremtles.html
Metric measurement	http://www.nist.gov/public_affairs/kids/metric.htm
Area of a Circle (related to a parallelogram)	http://britton.disted.camosun.bc.ca/areacirc/areacirc.htm
Information about pi	http://www.joyofpi.com/pilinks.html http://www.ualr.edu/~lasmoller/pi.html
Teaching about pi	http://mathforum.org/dr.math/faq/faq.pi.html http://mathforum.org/library/drmath/view/58288.html
Geoboard e-manipulative about perimeter & area	http://nlvm.usu.edu/en/nav/frames_asid_282_g_3_t_4.html?open=activities
Surface Area and Volume FORMULAS	http://argyll.epsb.ca/jreed/math8/strand3/3208.htm
Chapter 14 -- Congruence & Similarity	Go back to Math 142 Return to Top of page
Congruent triangle e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_165_g_3_t_3.html?open=instructions
Congruent and similar polygons	http://www.ies.co.jp/math/products/geo1/menu.html
Congruence, similarity & transformations	http://standards.nctm.org/document/eexamples/chap6/6.4/part4.htm
Congruence and transformations	http://www.ies.co.jp/math/products/geo1/applets/cong/cong.html
Chapter 16 -- Geometric Transformations	Go back to Math 142 Return to Top of page
translation e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_301_g_3_t_3.html?open=activities http://illuminations.nctm.org/LessonDetail.aspx?ID=L474
reflection e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_297_g_3_t_3.html?open=activities http://illuminations.nctm.org/LessonDetail.aspx?ID=L473
rotation e-manipulative	http://nlvm.usu.edu/en/nav/frames_asid_299_g_3_t_3.html?open=activities http://illuminations.nctm.org/index_d.aspx?id=466
e-manipulative for composition of transformations	http://nlvm.usu.edu/en/nav/frames_asid_294_g_3_t_3.html?open=activities
e-manipulative for size transformation	http://nlvm.usu.edu/en/nav/frames_asid_295_g_3_t_3.html?open=activities
Congruence, similarity & transformations	http://standards.nctm.org/document/eexamples/chap6/6.4/part4.htm
Additional topic
Logo Programming, Geometry	http://www.terrapinlogo.com/show.cgi?id=1001004165916225&file=educators/why.html http://www.mhhe.com/math/ltbmath/bennett_nelson/conceptual/student/logo.mhtml http://mckoss.com/logo/
Logo designs	http://www.geocities.com/CollegePark/Lab/2276/

You can also search the web using a key word search to find many different interesting sites that are related to teaching elementary and middle school mathematics. Return to Top of page

Karen E. Spike

Department of Mathematics and Statistics

MATH 141 and MATH 142

Basic Concepts of Mathematics I & II