Are you confused by terms that educators use? The ASCD Lexicon of Learning might be what you need.
Our collection of Math Resources has multiple pages designed for teaching within specific grade bands. You'll also find valuable collections of support and enrichment resources that will benefit all learners.
Math Resources (Page 1 of 5): Elementary and Middle Levels: Basic Mathematics and Skills Development
Math Resources (Page 2 of
5):
Middle,
Secondary, Post-Secondary: Subject Specific Resources:
Math Resources (Page 3 of 5): K-12 Supplementary Collections: Miscellaneous Math Collections; Practical Applications--Math in Careers, Daily Life, and Across the Curriculum; and Problem Solving
Math Resources (Page 4 of 5): Enrichment and Extra Help: Math Contests, Competitions, Challenges, and Camps; Study Skills and Homework Help; and Dictionaries, Glossaries, Reference Sheets, and Math Encyclopedias
Math Resources (Page 5 of 5): Lesson Plans, Worksheets, and Publishers' Textbook Support Sites
Handbook of Essential Mathematics
Teachers: You and your students might come to value the Handbook of Essential Mathematics from the Air Force Research Laboratory (2006) at Wright Patterson Air Force Base in Dayton, Ohio. It's particularly relevant for subjects addressed on this page of resources. This free online handbook is open source and has three sections "that will well serve both students and teachers alike from early grades through early college" (p. 3). Those are described as follows:
"Section I, “Formulas”, contains most of the mathematical formulas that a person would expect to encounter through the second year of college regardless of major. In addition, there are formulas rarely seen in such compilations, included as a mathematical treat for the inquisitive. Section I also includes select mathematical processes, such as the process for solving a linear equation in one unknown, with a supporting examples. Section II, “Tables”, includes both ‘pure math’ tables and physical-science tables," including some "just to nurture curiosity in a spirit of fun." ... Section III,“Applications in Personal Finance”, applies the language of algebra to everyday finances. (p. 4)
Are
your students ready for algebra? Your students can find out by taking
David Arnold's (Math Department of The College of the Redwoods)
Algebra Readiness Test. While most schools provide such a test, this
is a good online test with 50 multiple choice questions, answers, and detailed
solutions. Don't be concerned that it is a 2003 version.
See the slide show from the Doing What Works Web site on the 11 benchmarks that students should have mastered prior to algebra.
In Foundations for Success, the National Mathematics Advisory Panel (2008) set an expectation for school algebra that "students to be able to proceed successfully at least through the content of Algebra II" (p. xvii). Major topics recommended for school algebra include:
The following algebra resources should help to achieve those recommendations.
Algebra 1A (units 1-4) and Algebra 1B (units 5-7) combine for a complete course in Introductory Algebra. The multimedia lessons, interactivity, immediate feedback, and practice lessons are excellent. Materials include activities and labs, assessments, homework, simulations, and video lectures. Brought to you by the National Repository of Online Courses at Monterey Institute for Technology and Education. A single course designed similarly in Elementary Algebra (7 chapters) is also available, which begins with a review of pre-algebra concepts in chapter 1.
Algebasics.com contains 16 sections of step-by-step worked out problems on algebraic concepts. Use this site with middle school students and above to introduce concepts or for test review, including SAT review. Macromedia Flash is used accompanied with audio explanations from a math teacher. Select from hundreds of problems beginning with order of operations, rules for working with signed numbers, equations, ratio/proportion, inequalities, absolute value, exponents, polynomials, factoring, rational expressions/equations, linear equations and their systems, functions, radicals, quadratics, and applications.
AlgebraLab.org focuses on topics and skills from high school mathematics that students need for introductory science courses. You'll find topics in algebra I and II, geometry, trigonometry, statistics. There are lessons, hands-on activities, an interactive glossary, study aids with interactive practice problems, technical reading passages, word problems, connections between math and science to various careers, and more. The project was developed in conjunction with a Florida Department of Education Enhancing Education Through Technology Competitive Grant, a National Council of Teachers of Mathematics' Edward G. Begle Grant for classroom-based research in precollege mathematics, and Florida's Volusia County Schools.
Elementary Algebra with Applications (3rd edition) is a free online text from GetMath.com and Bernard Klein Publishing for students who have not had a formal course in algebra. The entire document can be downloaded. Quizzes, tests, and answers are included. Written by experienced math teachers.
Lure of the Labyrinth is a free online adventure game for pre-algebra learners, also suitable for middle school. Math is embedded in a story line--it' in an eerie world where monsters want world domination at any cost. The only way students can prevent that from happening is by solving the puzzles. Students progress through three sections, or "wings." Each is related to a different math strand: proportions (including fractions and ratios), variables and equations, number and operations (including geometry, order of operations and modular arithmetic). Each wing includes three puzzles, and each of the puzzles has three levels, from easy to hard. There are resources for teachers to help implement the game and also a section for families. This game is a product of the Learning Games to Go project, funded by a Star Schools grant from the U.S. Department of Education, spearheaded by Maryland Public Television.
The Math Dude, available from Montgomery Public Schools (MD), is an award winning video series for helping middle and high school learners of Algebra I. Shows can be viewed on the Web, via podcasts through iTunes or RSS feeds, or downloaded to your computer. These are a must see!
Purplemath
is a "not to miss" Algebra resource with lessons on preliminary, beginning,
intermediate, advanced topics, and word problems. An extensive list of
Internet resources related to Algebra is also provided, including a link to
online calculators. This site, developed by E. Stapel of Western
International University, is award winning.
Schmoop Pre-Algebra is online and free. Content is arranged in six learning guides: basic operations, fractions and decimals, ratios and percentages, basic geometry, basic statistics and probability, and basic algebra. There are succinct explanations, diagrams, interactive examples, practice problems, and real-world applications. This site is designed to make learning fun. Content has been developed by educators and experts. Many are from Ph.D. and Masters programs at Stanford, Harvard, UC Berkeley (and other top universities). The vast majority of Schmoop's writers have taught at the high school or college levels.
Virtual Math Lab from West Texas A&M University concentrates on Beginning Algebra, Intermediate Algebra, and College Algebra. Each course has complete tutorials (many with video explanations), practice problems with answers, and resources for extra help.
Do you need End of Course Exams for Algebra 1 and Algebra II?
Some
states require four years of high school math, including Algebra II or its
equivalent. Ohio is among those beginning with the graduating class of
2014 (sec:
ODE Gradution Requirements).
Achieve's
American Diploma Project Assessment Consortium has posted practice
tests and released test
items from the recent end of course exams for Algebra I and Algebra II,
respectively. These would be test preparation assets to teachers who
give end of course exams in these subjects.
For more information on having your state join the consortium and
participate in the
ADP Algebra I or
Algebra II End-of-Course Exams, please read the associated fact
sheet posted at the ADP Assessment Consortium.
Are your students ready for a formal course in geometry? While they may be in your geometry class, consider that their levels of geometric thinking might not be sufficient to engage in formal proofs. View the Mind Map of the van Hiele Model of Geometric Thought at GoGeometry.com. The Van Hiele model asserts that learners develop geometric thought sequentially through five levels of understanding. Numbered as levels 0-4, they are visualization, analysis, informal deduction, deduction, and rigor. Hopefully, students have progressed to the level of informal deduction by the end of grade 8. Read more on The van Hiele Levels of Geometric Understanding by Marquerite Mason for further implications for teaching.
Floor Planner can be used with learners in grades 6-12 to interactively design floor plans in 2-D and 3-D using point-and-click, drag-and-drop tools, and then share them with others. Consider scale drawings for studying geometric shapes, spatial relationships, and ratio/proportions, for example. Students can also show their creativity, and move elements of their design (e.g. furnishings) around as often as they like. Its free for personal use.
GoGeometry from the Land of the Incas, by Antonio Gutierrez, is an award-winning site that provides an eclectic mix of sound, science, and Incan history intended to interest students in Euclidean geometry. The site includes geometry problems, proofs, quizzes, puzzles, quotations, scientific speculation, and more. Best used with high school students and above.
Math Open Reference is a free geometry textbook for high school learners by John Page. There are topics in plane geometry, coordinate geometry, and solid geometry (e.g., cylinders, cubes). Its focus is on using interactive materials and animations to develop concepts. Sections on constructions are excellent.
Poly is a shareware program for exploring and constructing polyhedra. You can manipulate solids on the computer and also print out the net of the polyhedra so that you can create the physical 3-D model. Poly is downloaded from Pedagoguery Software.
Algebra and Trigonometry (2nd edition), a Prentice Hall book by Robert Blitzer, contains
12 chapters of useful quizzes and tests in multiple choice format, which can be
taken online. There are also graphing calculator tutorials and manuals for
the TI-83/84 and TI-86 calculators. Learners can create profiles to email
quiz/test results to the instructor.
Dave's Short Trig Course, by Dave Joyce of Clark University in Massachusetts, contains explanations, practice problems and answers. Best of all is that images are virtual manipulatives developed in Java so that learners can explore the properties presented. A brief background of the Pythagorean Theorem and similar triangles is included. See also Dave's Short Course on Complex Numbers
Demos with Positive Impact connects instructors of pre-calculus, calculus, and post-calculus courses with effective teaching tools to help them get important ideas across to students during their lectures. This project focuses on demonstrations that use some form of instructional technology (e.g., physical equipment or examples, graphical displays, simulations, computations, interactive modules, calculators, computers and computer software, the Web). Really first-rate!
Exploring Precalculus, by Dr. William Mueller, provides an introduction to precalculus using Mathcad or StudyWorks as a calculation and visualization tool. Many interactive examples let you explore the concepts and practice the skills necessary for understanding calculus. Central themes (functions, rates of change, and accumulation) are developed intuitively, from several perspectives (algebraic, numeric, and graphic). Materials suitable for use in grades 9-12, and post-secondary.
FlashyTrig.com uses Flash accompanied by audio to provide an introduction to trigonometry based on the unit circle and the geometry of the right triangle. The flash animations for illustrating the development of the six trig graphs are particularly useful for classroom demonstration.
Are
your students ready for calculus? The University of New Brunswick (Fredericton,
Canada) has posted a
Calculus Readiness Test
with answers. Many of the problems are challenging, but don't give
up.
Are your students ready for the AP Calculus exam? See resources, including released questions from prior exams, at the College Board AP Central for both the AB and BC exam levels.
Calc101 provides automatic solutions, powered by webMathematica, to derivative and integral problems found in beginning calculus. The site's goal is to help you to raise your grade by 10%. Get all the steps including the final answer. Step-by-step matrix operations and determinants are coming soon; linear equations will come later. Derivatives and polynomial multiplication and division are free. There is a small fee for integral solutions and linear algebra, but you can always see the first and last step.
Calculus by International Education Software helps students to learn about limits, derivatives, and integrals visually through precise definitions and a series of interactive applets.
Calculus is among math projects at the secondary education level posted at Curriki and the Global Education and Learning Community. Java is used for complete courses in AP Calculus at both the AB (Introductory Calculus 1 and 2) and BC (General Calculus 1 and 2) levels. Audio explanations accompany text equivalent and multimedia demonstrations of concepts are presented. Interactive practice problems are presented to test understanding. Feedback shows how answers are derived. This is truly worth using. Note Java modules might take a while to download.
Calculus: Graphics for the Calculus Classroom by Douglas Arnold of the University of Minnesota. This site contains a series of graphical demonstrations suitable for first year calculus: a differentials and differences animation, computing the volume of water in a tipped glass, Archimedes' calculation of pi, animation of a bouncing ball, secants and tangents, zooming in on a tangent line, a trig limit, graphs for a discussion on limits, a nowhere differentiable function, introduction to the number e, and computing the volume of the region formed by two intersecting cylinders.
Calculus on the Web is partially supported by the National Science Foundation and is a project of G. Mendoza and D. Reich at Temple University. This site has interactive exercises with feedback and help sections that explain concepts. There are seven books online: Precalculus; Calculus 1, 2, and 3; Linear Algebra, Number Theory, and Abstract Algebra.
Calculus-help.com by M. Kelley has been recognized by The National Council of Teachers of Mathematics and The College Board. Don't miss Tutorials for the Calculus Phobe, an ongoing project to present topics from this subject in an easily understood audio-visual format. Flash animation is incorporated. Topics include limits, continuity, differentiation, with more to come.
Calculus: The Integrator from Wolfram Research is powered by webMathematica. Enter any expression and the integration is performed for you. Also read about the history and applications of integration.
Calculus Review by Linda Valdes of San José State University contains review sheets of key concepts followed by online quizzes for topics in limits, derivatives, and integration. Well worth using these.
Calculus Tutor -- Karl's Calculus Tutor includes number systems, limits, continuity, derivatives and applications, exponentials and logs, trig functions, and sections on integration and applications. Some interactive features are included.
Calculus7.com -- Calculus animations, graphics and lecture notes, developed by veteran college level educator Kelly Liakos, are available for a small fee, which provides true value for the calculus educator looking for supplementary material for teaching this course. The site contains over 400 downloads of which 280 are animations. Free samples are available to view before subscribing.
Demos with Positive Impact connects instructors of pre-calculus, calculus, and post-calculus courses with effective teaching tools to help them get important ideas across to students during their lectures. This project focuses on demonstrations that use some form of instructional technology (e.g., physical equipment or examples, graphical displays, simulations, computations, interactive modules, calculators, computers and computer software, the Web). Really first-rate!
Elementary Calculus: An Infinitesimal Approach, On-line Edition, copyright 2000 by H. Jerome Keisler, is a freely-available calculus text from the author. You can download the whole book or selected chapters. This is one of the books selected as part of the California Free Digital Textbook Initiative.
Mathematics Visualization Toolkit (MVT) is a set of visual and computational tools designed to help students better visualize the concepts of Calculus. It contains:
MVT was developed by the Department of Applied Mathematics at the University of Colorado at Boulder. Additional calculus resources are included, including game formats for review.
Video Calculus is a collection of over 50 lectures provided in two video formats that were developed by Selwyn Hollis of the Mathematics Department at the University of Houston. Videos cover a full range of topics for calculus I and calculus II.
Visual Calculus from the University of Tennessee Math Department at Knoxville is an excellent resource that includes tutorials, drills and programs for pre-calculus and calculus. Animations, interactive pages, step-by-step solutions and illustrations are included for topics ranging from functions, graphing with technology, solving equations, and conic sections to limits and continuity, derivatives and applications, integration and applications, sequences and series. As a veteran calculus teacher, Patricia Deubel highly recommends this site.
Play the Derivative Matching Game!
Barbara Margolius created this Derivative Matching Game posted at the Mathematical Association of America. Macromedia Flash is used. When you play you are presented a series of cards on which functions and their derivatives are presented. The goal is to select the function, then its derivative. You can customize to also include the second derivative and make the game more challenging my increasing the number of game cards presented. This is first rate for calculus students and their teachers.
DIG
Stats is an excellent resource for integrating statistics and data
visualization into mathematics and science courses in grades 9-14. Modules with
student activities cover concepts from descriptive statistics, inferential
statistics, two dimensional graphical analysis and three dimensional data
visualization. Using Microsoft Excel and graphing calculators, students
analyze real world data sets from a variety of scientific disciplines.
Data were derived from WWW databases, university and government researchers, and
student projects. Guides, quizzes, and answers are provided. This
site is associated with the Central Virginia Governor's School for Science and
Technology.
Research Randomizer, part of the Social Psychology Network, is a free tool that can be used to introduce students to random sampling and random assignment. Students in K-12 often conduct surveys, which is just one use of this tool. It includes tutorials.
Statistics: Power from Data, a product of Statistics Canada, is a complete online text with exercises, answers, and lesson plans. Although intended for use with secondary students, the text could be used with middle school or post-secondary audiences. Chapters address data collection, data processing, problems with using information, organizing data, graph types, analytical graphing, measures of central tendency and spread, sampling methods, and more. There is a glossary.
What are the Odds? The Ins and Outs of Probability (by graduate students at University of Virginia) if primarily for secondary students. It contains lesson plans, an interactive quiz, an extensive data bank of questions relating to probability concepts sorted by topic, history, and additional resources on probability.
Analyze
Math by A. Dendane (United Arab Emirates University) contains math tutorials
and problems (with applets) for a various topics in algebra, trig, geometry,
calculus, and more. Excellent explanations.
Argyll Centre of Edmonton Public Schools in Canada hosts Jim Reed's Math and Science Resources. His resources address elementary and secondary topics in numbers/operations, patterns and relations, shape and space, probability and statistics, algebra, geometry, and trigonometry. Students can engage with interactive learning activities, see movies, and manipulate excellent Java math applets to study concepts. The site is also an excellent resource for the home-schooled student. Highly recommended.
Brightstorm.com has over 2000 online video lessons appropriate for middle and high school students. The math lessons are free and developed by a group of math teachers for algebra 1, geometry, algebra 2, trigonometry, precalculus and calculus. Additionally, the site offers a fee-based service to prepare for the SAT, ACT, and advanced placement courses.
GeoGebra is free, open-source, dynamic mathematics software that joins geometry, algebra and calculus. You can do constructions with points, vectors, segments, lines, conic sections as well as functions and change them dynamically afterwards. You can enter equations and coordinates directly. GeoGebra has the ability to deal with variables for numbers, vectors and points, finds derivatives and integrals of functions and offers commands like Root or Extremum. It received several international awards, including the European and German educational software awards. In Dynamic Mathematics with GeoGebra, authors Markus Hohenwarter, principle developer of the software, and Judith Preiner (2007) said, "You can use GeoGebra both as a teaching tool and to create interactive web pages for students from middle school up to college level. Specifically designed for educational purposes, GeoGebra can help you to foster experimental, problem-oriented and discovery learning of mathematics" (Abstract section). They illustrate the basic ideas of the software and some of its versatile possibilities by discussing several interactive examples. Educators can join the GeoGebraWiki to post their creations and view the work of others. For example, see the main page in English of free teaching materials created with GeoGebra.
Henrico County Public Schools (VA) has developed a web site for its mathematics courses in middle and high school. As a work in progress, their "goal is to create interactive, engaging, web pages that students will want to investigate and explore. Theses pages are different from a printed textbook in that they use java-based scripts, other web sites, software program files and browser plug-ins." Middle school has courses 1, 2, and 3. High school has integrated math 1, algebra 1 and 2, geometry, advanced algebra/trig, math analysis/trig, and statistics. Within each course, multimedia use is extensive. Do look at this site.
Higher Bitesize Maths from the BBC-Scotland contains Revisions (means study help with examples and illustrations) and Interactive Practice Tests on a variety of topics for algebra (functions, logarithms, polynomials, quadratic theory, and recurrence relations), geometry (circles, straight lines, vectors), trigonometry (compound and multiple angles, radians and equations, wave function), and calculus (differentiation and integration). [Note: Bitsize Maths, also from the BBC-Scotland, contains materials at a standard level for maths 1 and maths 2, also with study help (revisions) and interactive tests. Maths 1 deals with number at the general level, Pythagorean theorem, trigonometry and angles; area and volume, algebra at the general level, and graphs. Maths 2 deals with trigonometry, algebra, and statistics.]
HippoCampus,
a project of the Monterey Institute for Technology and Education, is a "free,
public website for high school and college students that offers NROC multimedia
correlated to most major textbooks." NROC is the National Repository of Online
Courses for students and faculty in higher education, high school, and advanced
placement. Among the full math textbooks online are Algebra (IA, IB, and
Elementary) and Calculus (Introductory I and II, General I and II, AB and
BC levels for advanced placement). Multimedia includes audio explanations,
visuals, interactivity. Individual instructors can customize the Hippo
website to better meet the needs for groups of students. Highly
recommended.
Khan Academy has 600 videos on YouTube covering multiple subjects from basic arithmetic, pre-algebra, algebra, geometry, trigonometry, pre-calculus, calculus, probability, SAT prep, to linear algebra, differential equations, physics, and finance, which have been recorded by Salman Khan. There's also a section on Singapore Math at grade 3.
MangaHigh is devoted to mathematics game-based learning for middle and high school learners. Games are of a commercial quality, but are free. You'll find interactivity, more than one level of difficulty, and topics such as transformations, estimation with basic number calculations, order of operations, equation solving (linear, quadratic, cubic, plotting coordinates), basic shapes to advanced geometry (some trig, too), ordering of decimals, fractions, percents. Adaptive learning, which automatically adjusts difficulty level based on how students engage with the game, is featured in Prodigi where students work to master skills in number, algebra, data, and shape. Games are endorsed by well-known UK mathematician Marcus du Sautoy.
MathBits.com "is devoted to offering fun, yet challenging, lessons and activities in high school (and college level) mathematics and computer programming for students and teachers." Subjects include algebra 1, geometry (including materials for using Geometer Sketchpad), and algebra 2, principally.
Math Expression has excellent tutorials, including animated videos with audio explanations and text equivalents. Topics include graphing (e.g., using the coordinate plane, slope, writing equations of lines), basic algebra (e.g., variables, expressions, solving equations), exponents, fractions, symmetry, and volume. Math study tips and practice questions help reinforce concept development. There is also a Q&A Library. The site is by Wei Chong, and is well-worth investigating.
Mathematics
Across the Curriculum Electronic Bookshelf developed at Dartmouth
College features materials with an interdisciplinary approach to mathematics
topics. The bookshelf topics include algebra, calculus and
differential equations, physical science, art, computer sciences,
pre-algebra, history and geography, literature, biology/medicine/psychology,
data analysis, statistics, business/economics, math and music, discrete
math, and trigonometry.
National Curve Bank, maintained at the Department of Mathematics at California State University, Los Angeles, contains highly relevant visual content and explanations for upper level mathematics--calculus, pre-calculus, trigonometry, geometry, fractals, and so on. JAVA applets are included. Some content includes practice problems on various topics. The developers "strive to provide features - for example, animation and interaction - that a printed page cannot offer." Geometrical, algebraic, and historical aspects of curves, "the kinds of attributes that make the mathematics special and enrich classroom learning" are included. Participants are encouraged to submit your best web animation as a "deposit" in the National Curve Bank. Highly recommended!
SAS Curriculum Pathways provides standards-based content in core subjects (English, Math, Science, History, and Spanish) for teachers and students in middle grades, high schools, and community colleges. Math content addresses introductory algebra through advanced algebra, geometry, trigonometry, and data analysis and probability. Activities include simulations, multimedia resources, innovative tools, and more; also included are web inquiries, additional web resources, and complete lessons. This award-winning content is free for U.S. educators.
Science
and Mathematics Initiative for Learning Enhancement (SMILE) at the Illinois
Institute of Technology contains over 900 individual lessons in Biology,
Chemistry, Mathematics, and Physics written by teachers and for teachers.
"The SMILE program is designed to enhance the elementary and high school
learning of Science and Mathematics through the use of the phenomenological
approach." The section on mathematics contains almost 200 single concept
lessons on geometry and measurement, patterns and logic, probability and
statistics, recreational and creative math, practical and applied math,
arithmetic, graphs and visuals, algebra and trigonometry, and miscellaneous.
S.O.S. MATHematics by Math Medics, L.L.C., in Texas contains over 2500 pages of short and easily understood explanations from simplifying fractions to algebra, trigonometry, calculus, differential equations, complex variables, matrix algebra. Tables are included and a link to CyberExams to practice for tests and quizzes. Site is for high school, college, and adult learners.
The Math Page is by Lawrence Spector of the Borough of Manhattan Community College, The City University of New York. This site has four major sections. Practice problems illustrating concepts are presented throughout with answers.
Things to Remember from Oswego City School District's Regentsprep.org in New York consists of four-pages of facts and formulas summarizing key concepts addressed in Algebra 2 (pp. 1-2), Trigonometry (p. 3), and Probability and Statistics (p. 4). These are very useful for quick reference for test prep.
Zona Land's More Mathematics than Science is devoted to helping students understand algebra, geometry (including conic sections), trigonometry, and curve fitting. Don't miss the interactive manipulatives and virtual reality demonstrations of concepts.
Spice up your math class!
Mudd Math Fun Facts. Fun
Facts are designed for, and work best in courses where the typical student needs
that boost to generate interest and arouse curiosity in math. The Fun
Facts will cause students who are studying algebra, geometry, probability,
calculus, number theory, and topology, for example, to look at mathematics
differently!
Taken
from the quick activity on multiplication by 11, can you figure out what's going
on here?
253 x 11 = 2783
117 x 11 = 1287
532 x 11 = 5852
267 x 11 = 2937
How about presenting the number of the day?
Mathematical Association of America’s NumberADay blog. Every working day, the MAA posts a number and offers a selection of that number’s properties. For example, on September 17, 2008, the daily number was 54 --the number of squares on a Rubik's cube, and also the smallest number that can be written as the sum of three squares in three ways. 54 = 12 + 22 + 72 = 22 + 52 + 52 = 32 + 32 + 62
What about a problem of the day?
Visit MAA MinuteMath blog, which contains a problem of the day taken from the AMC-8, AMC-10, or AMC-12, provided by MAA's American Mathematics Competitions. Each problem is presented with an interactive version and solution. On October 6, 2008, the problem was to find the minimum product using three different numbers from the set {-8, -6, -4, 0, 3, 5, 7}. Find out by visiting the site.
Famous Problems in the History of Mathematics is from the Math Forum. "The purpose of this site is to present a small portion of the history of mathematics through an investigation of some of the great problems that have inspired mathematicians throughout the ages. Included are problems that are suitable for middle school and high school math students, with links to solutions, as well as links to mathematicians' biographies and other math history sites."
Or spice up your lesson with video.
WatchKnow.org contains a database of free educational videos gathered from across the internet and organized for kids, so that they can get extra "instant tutoring" on almost any topic taught when they need it. These are also good for classroom use. There are multiple content areas, including about 1000 videos in mathematics and over 100 on standardized test skills and math study skills. Explore numbers and shapes, applied math for young learners, arithmetic, measurement, algebra, geometry, precalculus, and calculus, the history of math, and more.
How about presenting a math joke, comic of the day, a math song or a math rap? Let your students also create their own.
Aha! Jokes has thousands of clean jokes, funny pictures, cartoons, funny audio, funny videos, and more in numerous categories. The Math jokes feature humor about algebra, geometry, statistics, calculus, proofs, addition, and more.
MakeBeliefsComix.com allows anyone to create comic strips online, then print or email them. Students might create a comic to explain a math concept or a new vocabulary word, or how they solved a problem. They might share their feelings or a concern about their learning. It's a fun way to incorporate writing in math class.
Pixton is a social cartoon making website that anyone can join. The site includes safety tips, tips for parents, and a special section for school use. A site search reveals many math cartoons. You can leave comments, rate your favorites, exchange messages with friends, build a fanclub, print and download your own comics, email them to others, and post them on other web sites and blogs.
The Rappin' Mathematician explains How to Write Your Own Math Rap. Need an example? Visit his Mathraps.com, which contains a few free raps. You can also get inspired by the short video of math teacher Matt Hildahl on Using Math & Rap, which includes the rap his students created on the Pythagorean theorem. There are Google videos on math rapping.
Songs for Teaching includes Math Songs: Teaching Math Facts & Concepts. Songs are categorized by addition, subtraction, multiplication, division, advanced math, algebra, geometry, trigonometry, and there is a section for miscellaneous math songs.
How about relating your math education to culture?
Culturally Situated Design Tools for teaching math and computing through culture comes with lessons and software for students to create their own cultural designs associated with African, African American, Latino, Native American cultures, and Youth Subcultures—even graffiti! Explore other ways to incorporate this area into your classroom using resources from the International Study Group on Ethnomathematics.
You could present a mathematician of the day.
The University of St. Andrews (Scotland) provides a list of mathematicians who were born or died on the current calendar day, along with biographies. So, you can check this site daily.
Wolfram Research has an extensive list of mathematicians with their biographies. As students often know little of who discovered some of the concepts they study, such biographies might be of interest.
Biographies of Women Mathematicians is a project from Agnes Scott College in Atlanta, Georgia. The achievements of women in mathematics are sure to motivate. You also will find the woman mathematician of the current day.
Students and Teachers:
Print Graph Paper for Free!
Graph
paper and grids from Mathbits.com: number lines, dot, rectangular,
trig, polar, and blank calculator screens.
Print free graph paper!
-- Cartesian, polar, logarithmic, and more.
Print graph paper of all kinds from Incompetech.com: square, triangle, rhombus, hexagon, octagon, trapezoid, circular, asymmetric, accounting, log, polar, number line, storyboard, perspective, note-taking, and so on. A terrific collection.
Buy additional resources via CT4ME.
The Amazon widget below shows books using the search phrase: math and high school. You can also use the widget to search with other key words. Suggestions include:
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Hohenwarter, M., & Preiner, J. (2007, March). Dynamic mathematics with GeoGebra [online]. Journal of Online Mathematics and Its Applications, 7, article 1448. Available: http://www.maa.org/joma/Volume7/Hohenwarter/index.html
National Mathematics Advisory Panel (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: U.S. Department of Education. Available: http://www.ed.gov/about/bdscomm/list/mathpanel/index.html
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See
related topics: Math Manipulatives
and Standardized Test
Preparation.
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Contact Dr. Patricia Deubel: deubelp@neo.rr.com
Last revised 08/24/10
CT4ME Author: Dr. Patricia Deubel
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