The MATHMAN Laboratory Manual for calculus. Computer activities. with Mathcad and Maple V Note that this includes using these materials in a class you teach. http://www.shout.net/~mathman
Extractions: The above is a copy of Don's watercolor painting of The Nautilus shell. The shell is beautiful, its shape a mathematical curve, and can be obtained from Shell World, at http://www.seashellworld.com/seashells/nautilus.htm . Also see the equation for the shell making a spiral Xah Lee's work on spirals (and other curves) and student work on the growth of the Nautilus (chapter 6). WELCOME ! Refreshing insights into the learning and doing of some important mathematics, by young people (while doing lots of arithmetic, using many hands-on materials, science to math activities, and the non-trivial use of calculators and computers) for children, as well as adults. Don assumes only that a student can count. Don shows sample problems and solutions from his works, below. Homeschooling math by Don Cohen ..Two roads diverged in a wood, and I - - And that has made all the difference. From The Road Not Taken by Robert Frost. Don feels that what he has done is not the usual, and something that has touched many people, young and old, around the world, very positively, and has been very rewarding- and that has made all the difference in his life! Don's keys: visualization, look for patterns, learn to learn!
Math Forum: Teacher2Teacher - Q&A #122 23 May 98 Re Algebra, calculus activities for block scheduling by Claudia. PublicDiscussion. 26 Oct 98 Software for helping to teach secondary school math by http://mathforum.org/t2t/thread.taco?thread=122
Math Forum: Teacher2Teacher - Q&A #122 I teach calculus, Trig, and Algebra I. We have been on a many activities but am alwayslooking for new activities for math classes, especially calculus. http://mathforum.org/t2t/message.taco?thread=122&message=1
Academic Activities Academic activities. I am particularly interested in using appropriate technologyto find better ways to teach calculus to undergraduate students majoring in http://www.mste.uiuc.edu/users/Murphy/Work.html
Extractions: I am a graduate student in Mathematics Education at the University of Illinois at Urbana-Champaign . My advisor is Kenneth J. Travers . (Ken's advisees generally think he walks on water, and we're a pretty perceptive bunch.) I am particularly interested in using appropriate technology to find better ways to teach calculus to undergraduate students majoring in engineering and physics. I have written a few papers, which are available on the web. These papers are mostly about calculus instruction in one way or another, with a lot of attention to the use of technology to increase understanding. My dissertation is a comparison of two ways of using technology to introduce the derivative in a first-semester calculus course. This is the part of my site that should be changing most rapidly this semesterbut hasn't been. I'll try to do better. Really, Mom, I'm working on it. One of the instructional methods in my study uses a computer and an ultrasonic motion detector, produced by Vernier Software . As the student walks back and forth in front of the detector, the computer displays a graph of the student's motion. Motion detectors have been used successfully to teach graphing concepts to students from middle school through college. I am using the motion detector to help the students see how the speed of the motion is represented by the slope of the distance graph and the height of the velocity graph. Once this conceptual link between the slope of one graph and the magnitude of another is established, it forms a foundation for understanding the derivative.
Daily Activities Related To The Subject You Teach Problem of the Week from Alvirne High School's AP calculus Class The Academic Standardsare listed as well as overviews, activities, procedures and resources http://www.internet4classrooms.com/subject_area.htm
MATHEMATICS Covers all the first year calculus topics Blocks Manual has easyto-use activities reproducibles Snap-Together Math Sense Building Blocks to teach math skills http://www.lamppostpublishing.com/Math1.htm
Extractions: Lamp Post Homeschool Store "Where wisdom is at home" TM Christian Homeschool Curriculum Store 1741 Tallman Hollow Road, Montoursville, PA 17754-9433 Ordering Information E-Mail: LampPostP@aol.com Mathematics Catalog By Category By Publisher Home ... Search NOTE General math resources are listed on this page. Click on these links to get there faster: Arithmetic The Easy Way Common Sense Press Math High School Math Electives Mathematical Reasoning Through Verbal Analysis ... Zang Multiplication Card Game Click on the following links to see math curriculum on other pages in our website: Algebra VideoText Interactive Alpha Omega LifePac Gold Math Bob Jones Elementary Math ... Switched-On Schoolhouse Critical Thinking Skills Mathematical Reasoning Through Verbal Analysis These activities teach students to reason our answers and master mathematical problem solving in a way that drill and memorization can't. I started using this the year I was frustrated with teaching math. (Of course, that could be every year for some!) The pages looked like they would be fun for the children to do and I looked on it as a more puzzle and game book. WRONG! When I started checking their pages, I realized that each exercise really taught them to think about the reason behind the math the concept! They did so much better in math when we returned to regular math! Mathematical Reasoning Book 1 Grades 2-4 ability Mathematical Reasoning Book 1
A CASE STUD Y IN THE HISTOR Y OF CALCULUS REF ORM A CASE STUDY IN THE HISTORY OF ExploreMath.com Shockwave activities create realtime correlations between equations and graphs that help students visualize and experiment with many of the major concepts from Elementary Algebra through Pre-calculus. http://www.uwec.edu/Academic/Curric/smithaj/crete.pdf
Course Organization FAQ Answer While the theoretical side of calculus is taught We still teach the formaldefinition of continuity The activities and projects serve the same purposes http://www.ithaca.edu/hs/mathcs/calculus/coursqst.htm
WACky Calculus For Science And Engineering Majors WACky calculus for Science and Engineering Majors These assignments and activities teach, develop, and enhance organization, synthesis and summarizing skills. http://www.okc.cc.ok.us/coehrlein/amatyc/wkshp.htm
Extractions: WACky Calculus for Science and Engineering Majors With my samples as guides, instructors or teams of instructors from the same campuses will be led through a curriculum and instruction design process in which they will create outlines or assignments that they can actually begin using in their courses. This presentation is centered on a teaching philosophy that values engineering and physical science students developing both symbolic manipulative skills and significant depths of conceptual comprehension in their Calculus courses. In addition to the mathematical skills and applications targeted by the course objectives, I seek to develop and enhance my students' technical communication skills, independent problem solving abilities, and their ability to apply basic skills and concepts in a variety of new and unfamiliar settings. The vehicle for engaging students in my Calculus classes is a set of basic Writing Across the Curriculum principles. The second step involves reflecting and thoroughly examining our learning and teaching goals and methods in light of the experience we have provided our students through the primary reading and writing assignments. Our strategies need to reflect our desire for our students to achieve deepened mastery of the concepts we are trying to teach. We want proficiency with the symbolic, manipulative algorithms and with mathematical and physical applications. Writing Across the Curriculum is predicated upon active learning as opposed to learning through passive watching and listening. Students need to be actively involved in problem solving in the classroom with their peers acting as sounding boards for ideas and as co-workers in developing and implementing attack strategies, and their instructor acting as a master guiding a group of apprentices.
Index In addition, students often work on activities in the Focus clearly on the centralconcepts of calculus and have teach the students to be good problem solvers. http://www.ithaca.edu/hs/mcs/calc1/
Daily Activities Related To The Subject You Teach Grades 16 calculus Problem of the Week - from Alvirne High School's AP calculusClass The Geometry Problem of the Week - from the Math Forum at Swathmore Word http://www.memphis-schools.k12.tn.us/admin/tlapages/subject_area.htm
Extractions: Ask the Space Scientist Health Daily Nutrition Tips from the American Dietetic Association, your link to nutrition and health. Language Arts Merriam Webster's Word of the Day - Learn a new word, see an example sentence and then learn about the derivation of the word. Webster will even Email this to you on a daily basis. Enlarge the vocabulary of your High School level students.
Mike May's Interests And Activities will involve more developmental work than with calculus. mathematics rather thantrying to teach computers, I with a number of pastoral activities including http://euler.slu.edu/Dept/Faculty/may/page3.html
Extractions: My research interests. My research interests focus on the interaction of two branches of ring theory. Cohn, Schofield, and Bergman explored the techniques of universally inverting maps between projective modules as a way of localizing rings. The nature of the technique does not lead to easy examination of the resulting ring. The resulting rings however are often interesting objects in their own right. My research looks at ways of explicitly producing these rings. (Explicit here means that the elements have normal forms that can be used for computations.) In particular I look at ways of reducing the instruction "invert all full maps" to "invert a well selected finite set of maps". One place that this technique shows promise is with finite dimensional algebras. The techniques of universal localization give promise of explicitly producing various large modules, like the generic modules. Most of the work in this field has focused on modules that are finite dimensional over a field that is central to the original ring. The focus seems to be driven by the fact that the homological methods use double duals. The universal localization techniques do not seem to require this finite dimensional restriction. Academic interests - My academic interests include: Calculus reform - The department is deep into the process of implementing calculus reform. The possibilities are exciting. The question of integrating new technologies into the curriculum gave us the opportunity to review the larger questions of what we are trying to do when we teach calculus. This process has us reexamining the pedagogical methods we are using in core mathematics cores. Hopefully, the lesson we learn will spread up and down the mathematics curriculum.
Calculators Can Change The Way We Teach Calculators can change the way we teach. These activities are 1) Approachproblems numerically. 9) Foreshadow concepts of calculus. http://ued.uniandes.edu.co/servidor/em/recinf/tg18/Carvalho/Carvalho-4.html
Extractions: Are graphing calculators the catalyzers for a real change in mathematics education?. Bert Waits reports ten fundamental activities done with "hand-held visualization technology" in the classroom work of students in the Calculator and Computer Precalculus project (a project involving more than 1,000 schools in the USA). These activities are: 1) Approach problems numerically. 2) Use analytic algebraic manipulations to solve equations and inequalities and then support using visual methods. 3) Use visual methods to solve equations and inequalities and then confirm using analytic algebraic methods. 4) Model, simulate and solve problem situations. 5) Use computer generated visual scenarios to illustrate mathematical concepts. 6) Use visual methods to solve equations and inequalities which can not be solved or are impractical using analytic algebraic methods. 7) Conduct mathematical experiments, and make and test conjectures. 8) Study and classify the behavior of different classes of functions. 9) Foreshadow concepts of calculus.
A Reflection On The Past Role Of Technology schooling, and because of the time and energy needed to teach students these of usfor whom the only technology supporting our calculus activities was pencil http://ued.uniandes.edu.co/servidor/em/recinf/tg18/Jones/Jones-2.html
Extractions: If asked to multiply two hundred and thirty four by three hundred and forty six, in the pre calculator era, most students would have reached for a pencil and paper (or chalk and a slate); generally to record the two numbers, most probably in the form 234 346, and secondly to record the steps in the long multiplication algorithm in a similar manner to that shown below: Pencil and paper, as a recording device, and the long multiplication algorithm, as a device to reduce long multiplication to a sequence of single digit multiplications and additions, are both technologies which, in the pre-calculator era, were required by most of us to multiply multi-digit numbers accurately and reliably. If the numbers to be multiplied involved decimals, for example, 2.34 0.0346 the long multiplication algorithm became much more difficult to perform and it was usual to resort to another technology, four figure logarithm tables, to help with the task. Tables of logarithms enabled complex products to be transformed into less complex sums which could be systematically carried out with the aid of pencil and paper as shown in figure Figure 1.
ENC: Web Links: Lessons & Activities: Math Topics: Calculus 025909 This Internet site solves calculus derivatives and that employ the Internetto teach mathematics or classroom materials based on NASA space activities. http://www.enc.org/weblinks/lessonplans/math/0,1544,1-Calculus,00.shtm
Extractions: Skip Navigation You Are Here ENC Home Web Links Math Topics Advanced ... Frequently Asked Questions Find detailed information about thousands of materials for K-12 math and science. Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. Use math topic words to find web sites with lesson plans and activities. Maths online
ENC: Web Links: Lessons & Activities: Science Topics: Process Skills The calculus and physics at Duke University, contains inquiry based science andmathematics activities. use handson exercises to teach modern biotechnology http://www.enc.org/weblinks/lessonplans/science/0,1578,1-Process skills,00.shtm
Extractions: Skip Navigation You Are Here ENC Home Web Links Science Topics Advanced ... Frequently Asked Questions Find detailed information about thousands of materials for K-12 math and science. Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. Use science topic words to find web sites with lesson plans and activities. Space for species
Calculus Lesson Plans I Love calculus Fun activities for learning math, even The calculus Page ProblemsList- About 20 Calc. teach-nology - The Art and Science of teaching with http://www.teach-nology.com/teachers/lesson_plans/math/calculus/
Extractions: Free Sites ... Professional Development Enter your email address for FREE weekly teaching tips! Home Teacher Resources Lesson Plans Math ... AP Calculus Lessons - Online lessons for students. Archive of Reform Calculus Resources - Over 20 projects and activities. - About 30 lessons to choose from. Calculus Lesson Plans and Worksheets - In this site you will find worksheets, puzzles, tips, and other ideas for calculus. Calculus Reform: Sample Materials - Syllabi, homework, exams, handouts from the four terms of Calculus, as taught at Stony Brook. Calculus.net - A web portal for calculus teachers. CBL# Activities for Pre-Calculus / Trigonometry - Tons of activities from Texas Instruments. CCP Materials for Differential Calculus - Three quality activities. CCP Materials for Integral Calculus Continuous and Yet Undifferentiable - This lesson explores the behavior of a function near critical points where the derivative is undefined. Difference Equations to Differential Equations - A full on-line text.
Laboratory Manual For Calculus in the use of the software during the calculus course(s is given in the course ofthe activities, is fully includes using these materials in a class you teach. http://www.math.odu.edu/~bogacki/labman/
Extractions: This page provides access to the preliminary edition of the Laboratory Manual for Calculus, developed under the Old Dominion University calculus project We intended the manual to be useful to the students in several ways: as a lab assignment guide Activity sections are included in almost all the chapters. Nearly all the activities involve Mathcad (version 5.0 for Windows). Several activities also require Maple V (release 3 for Windows). as a self-study guide Homework Help sections are designed to allow the student to use technology while solving homework problems from the text (Calculus with Analytic Geometry, Larson, Hostetler and Edwards; D.C. Heath, 5th Edition). Some chapters also include a Questions section, intended to help the student assess the insight he or she gained into the visual and numerical aspects of the calculus concepts discussed. as a reference While this guide is not intended to be a software manual, it provides useful information to aid the student in the use of the software during the calculus course(s), as well as afterwards. Software-related information, most of which is given in the course of the activities, is fully indexed for convenience. Appendix A contains a summary of Mathcad operations and functions. Appendix B includes a list of common problems encountered by students while working with Mathcad.
Mathematics With The Car & Ramp Newton developed the calculus (simultaneous with Leibnitz) from very similar experiments Mostof the activities teach students how to arrange observations into http://www.cpo.com/CPOCatalog/CR/cr_math.htm
Extractions: as well as linear and quadratic equations . The relationship between the graphical and algebraic representation of a straight line is especially valuable. Problem Solving Most of the activities teach students how to arrange observations into graphical and/or algebraic models that can be used to solve problems of predicting
POSITION TITLE PHYSICS INSTRUCTOR (Tenure-Track Appointment) light and modern physics at the calculusbased level, in an active engagement environment,which may include the use of MBL activities. Ability to teach to non http://www.delta.edu/humres/PhysicsInstr.html
Extractions: Contingent Upon Budget Approval Delta College is a community college serving Bay, Midland and Saginaw Counties in the east-central portion of Michigan. Residing in the district are 400,000 people, including communities of 70,000, 40,000 and 38,000 residents. The campus was opened in 1961 and two major additions have opened since Fall, 1978, a major $26 million renovation project was just completed, and an additional $42 million renovation project is on going. The College is especially proud of its forty year history of shared governance. The College is a charter member of the National League for Innovation in the Community College, in recognition of the range of creative programs offered. The College seeks creative and innovative employees who will join us as active leaders and contributors to our vision as a learning-centered institution of the 21st Century. Delta is a learning centered institution that focuses on the diverse post-secondary learning needs in our community. Delta provides quality learning opportunities and recognizes learning can take place 24 hours a day, every day, in and out of the classroom, and on and off campus. Learning is our primary measure of success.
