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41. Curriculum Project
would see me reading picture books (such as math Curse or This unit introduces whole number operations, properties, and computations, number theory
http://usiweb.usi.edu/students/gradstudents/j_k_l/kleinknecht_s/portfolio/Educ 6
Curriculum Project of Sally Kleinknecht
EDUC 611 Summer 2003 Dr. Stiler The Overarching Understandings embedded in Your Curriculum Name of Course or Curriculum: Basic Elementary Mathematics I
Enduring understandings about the content…
1. Students will understand both number systems and number sense in order to solve problems. 2. Students will understand the basic processes of algebra such as the four operations and apply their understanding to solving problems. 3. Students will understand and be able to organize, represent, analyze, and interpret data in various ways.
Core Processes your students will know…
1. Students will know and experience many methods of problem solving. 2. Students will know and master the principle techniques associated with sets, functions, numerations systems, number theory, rational and irrational numbers, probability and statistics. 3. Students will know how to teach concepts of problem solving in the elementary classroom.
The theme of this curriculum is: Literature and Math Mathematics and literature have always been at opposite ends of the spectrum in education. Mathematics is seen as narrow, single-answered, and abstract while literature is broad, creative, and symbolic. However, mathematics is much more than that – it helps us understand and live in our world. Using literature to teach mathematical concepts will break through those stereotypes – helping to visualize not only the mathematical concepts, but also the reality and the diversity of math.

42. Some Major Unifying Themes In This Document
ComputerAssisted Learning (CAL) and Intelligent Computer-Assisted Learning That is, their math maturity is to teach a course at a formal operations level, but
http://darkwing.uoregon.edu/~moursund/Math/five_major_themes.htm
Website
Home Page
What is Mathematics? Major Unifying Themes in This Document ... "Dr. Dave" Moursund
Major Themes That Help to Unify this Website Document
Click here for this Website's search engine. There are seven recurring and unifying themes in this Website document. Each provides opportunities for exploration of possible significant improvement in our math education system. This Webpage provides a short introduction to each of the seven themes, as well as clickable links that lead to more detail. Theme 1: Students Competing with ICT Systems. Our math education system spends an inordinate amount of time attempting to teach students to memorize procedures and develop both speed and accuracy in carrying them outthings that machines do much better than people. Theme 2: Students and Mathematical Developmental Theory. The content of significant parts of the current PreK-12 math curriculum is not appropriately aligned with what we know about developmental theory in general, and mathematics development theory (math maturity) in particular. Theme 3: Teachers Competing with ICT Systems.

43. In The News: Math Wars
textbooks and penciland-paper computation as rote and two winners of a prestigious math prize, the mathLand does not teach standard arithmetic operations.
http://edreform.com/news/000104wsj.htm
Education Reform In The News MATH WARS
Wall Street Journal Lead Editorial, January 4, 2000 So you've got thirteen
And you take away seven,
And that leaves five...
...Well, six actually
But the idea is the important thing -"New Math" By Tom Lehrer (1965) Reinventing math is an old tradition in this country. It has been around at least since the 1960's, when the inimitable Tom Lehrer mocked the New Math in Berkeley cafes. Even Beatniks understood that a method that highlights concepts at the expense of plain old calculation would add up to trouble. And, as it happened, the New Math's introduction in schools across the country coincided with the onset of a multi-year decline in math scores. Today the original New Math is old hat, but many folks in the education world are hawking yet another reform. It is known by names like "Connected Math," or "Everyday Math." Not surprisingly, the New New Math has a lot in common with the Old New Math. Like its forerunner, it focuses on concepts and theory, scorning textbooks and pencil-and-paper computation as "rote drill." And like its forerunner, today's New Math has powerful allies. Education secretary Richard Riley and other Clintonites smile on it. Eight of the 10 curriculums recently recommended for nationwide use by an influential Education Department panel teach the New New Math. Not that all members of the Academy are joining the movement. Within weeks of the Education Department findings, 200 mathematicians and scientists, including four Nobel Prize recipients and two winners of a prestigious math prize, the Fields Medal, published a letter in the Washington Post deploring the reforms. More are now rallying on an opposition Website

44. MATH
This course covers elementary operations in matrix difference algorithms matrix computations, methods for Prerequisite(s) math 3103 (programming languages
http://bronze.ucok.edu/registrar/catsf/cMATH.HTML
MATHEMATICS (MATH) - 2004-2005 UCO Catalog Department of Mathematics and Statistics MATH 1113 - Math For General Education A survey course in mathematics not intended as a preparation course or a substitute for College Algebra. Includes topics from sets, logic, probability, statistics, matrices, geometry, numeration systems, number systems, and the real number system. Prerequisite(s): Three units of high school mathematics or intermediate algebra. MATH 1453 - College Algebra For Business This course exposes students to equations and inequalities, as well as functions and their graphs, including polynomial, rational, exponential and logarithmic functions. Students solve problems in financial mathematics, systems of linear equations, and linear programming. Credit may be earned in only one course from MATH 1555, 1453, 1513. Prerequisite(s): Three years of high school mathematics or the equivalent. MATH 1513 - College Algebra Complex numbers, equations and inequalities, graphing, functions, variation, systems of equations, matrices and determinants, zeros of polynomials, mathematical induction, binomial theorem, and sequences. Credit may be earned in only one course from MATH 1555, 1453, 1513. An integrated course in college algebra and trigonometry, including exponential, logarithmic and inverse functions, and solutions of linear equations using matrices and determinants. Credit may be earned in only one course from MATH 1555, 1453, 1513.

45. GHUSD: Visual
allows for comprehension, not computation or decoding) o o Use color highlighting in math operations to help code directionality o teach math phrases and
http://www.grossmont.k12.ca.us/GUHSD/programs/speced/Resourece & link/Resouces/S
Visual Processing
  • Visual Perception/Discrimination
  • Visual Figure-ground Differentiation
  • Visual Sequential Memory
  • Visual Spatial Memory
  • Visual Closure
  • Visual Spatial Orientation
  • Visual Part-to-Whole Formulation
  • Visual Perseveration
  • Educational Strategies and Accommodations

VISUAL PERCEPTION/DISCRIMINATION

Problems differentiating visual figures, shapes, and symbols such as letters and numbers. Possible Measures of Visual Perception/Discrimination
Bender-Gestalt
VMI (Developmental Test of Visual-Motor Integration)
WISC-III (Block Design, Coding, Object Assembly, Picture Completion, and Picture Arrangement)
Test of Visual Perceptual Skills
Functional Description/Educational Implications of Visua l Perception/ Discrimination Difficulties

Student may demonstrate one or more of the following :
* Deficit
s
Student may demonstrate one or more of the following : * Deficits Functional Description/Educational Implications of Visual Perception/Discrimination Difficulties Student may demonstrate one or more of the following : * Deficits in noting differences and similarities among geometric forms, letters and words

46. Chapter 8 K-12 Overview
be able to select and apply various computational methods, including mental math, estimation, paper Simple twodigit computations or operations that involve
http://dimacs.rutgers.edu/nj_math_coalition/framework/ch08/ch08_k-12o.html
New Jersey Mathematics Curriculum Framework
STANDARD 8 - NUMERICAL OPERATIONS
K-12 Overview
All students will understand, select, and apply various methods of performing numerical operations.
Descriptive Statement
Numerical operations are an essential part of the mathematics curriculum. Students must be able to select and apply various computational methods, including mental math, estimation, paper-and-pencil techniques, and the use of calculators. Students must understand how to add, subtract, multiply, and divide whole numbers, fractions, and other kinds of numbers. With calculators that perform these operations quickly and accurately, however, the instructional emphasis now should be on understanding the meanings and uses of the operations, and on estimation and mental skills, rather than solely on developing paper-and-pencil skills.
Meaning and Importance
The wide availability of computing and calculating technology has given us the opportunity to significantly reconceive the role of computation and numerical operations in our school mathematics programs. Up until this point in our history, the mathematics program has called for the expenditure of tremendous amounts of time in helping children to develop proficiency with paper-and-pencil computational procedures. Most people defined proficiency as a combination of speed and accuracy with the standard algorithms. Now, however, adults who need to perform calculations quickly and accurately have electronic tools that are more accurate and more efficient than any human being. It is time to re-examine the reasons to teach paper-and-pencil computational algorithms to children and to revise the curriculum in light of that re-examination. Mental mathematics, however, should continue to be stressed; students should be able to carry out simple computations without resort to either paper-and-pencil or calculators. Fourth-graders must know the basic facts of the multiplication table, and seventh-graders must be able to evaluate in their heads simple fractions, such as

47. Math Technology EXPO - Abstracts
45am) At lasts year’s math EXPO, a an efficient method for calculator computations since it only involves three elementary operations shifts, comparisons
http://www.math.ksu.edu/expo/sess7.html

48. City Newspaper : Print This Article
What you can teach at Veterans Outreach math, blueprint reading, computers. something we never have enough of. Platt is operations manager at
http://www.rochester-citynews.com/gbase/Gyrosite/PrintFriendly?oid=oid:2059

49. Mathematics - Descriptions And Prerequisites
algebra including absolute values, operations with positive calculator capable of exponential and logarithmic computations. math 140, Preparation for Calculus, 4
http://www.kellogg.cc.mi.us/schedule/descriptions/mathematics.html

Class Schedules
Key to KRIS Schedule Course Descriptions Open Entry Program ...
Information System

MATHEMATICS (DESCRIPTIONS AND PREREQUISITES) In courses numbered 121 and higher, students are expected to have a calculator capable of exponential, logarithmic, and trigonometric computations. In courses numbered 122 and higher, meaningful computer activities using or illustrating principles from these courses will be included. Waiver of Mathematics Prerequisites: Students wishing to show competencies equivalent to MATH 97, 98, 99, 100, 101, 121, 122, 124, or 140 may do so by taking the appropriate portion of the COMPASS assessment. Arrangements may be made at the KCC Testing and Assessment Center in the Lane-Thomas Building. MATH 97 Mathematics Clinic 1-3 CR Prerequisite: COMPASS pre-algebra assessment score of at least 15. After diagnosis, through testing and/or consultation with the mathematics instructor in charge of the clinic, a study plan will be developed for the student's needs or problems. The clinic instructor is available to provide individual help for the students. Lab Fee MATH 98 Mathematics Clinic 4 CR Prerequisite: COMPASS pre-algebra assessment score of at least 15. After diagnosis, through testing and/or consultation with the mathematics instructor in charge of the clinic, a study plan will be developed for the student's needs or problems. The clinic instructor is available to provide individual help for the students. [48-16-64] Lab Fee

50. The Math Forum - Math Library - Basic Operations
in the areas of computational math addition, subtraction the ruler; and a Computational Skills Evaluation Basic mathematical operations Using mathtiles (SMILE
http://mathforum.org/library/topics/basic_ops/
Browse and Search the Library
Home
Math Topics Arithmetic/Early : Basic Operations

Library Home
Search Full Table of Contents Suggest a Link ... Library Help
Subcategories (see also All Sites in this category Selected Sites (see also All Sites in this category
  • BEATCALC Archive - Math Forum
    An archive of B. Clay's BEATCALC weekly mailing list. Amaze your friends by memorizing a few simple rules and doing mental math tricks faster than they can do them on a calculator. Squaring, multiplying, dividing, adding, and subtracting numbers; finding percents; calculation practice exercises. more>>
  • Order of Operations - Math Forum, Ask Dr. Math FAQ
    What is the correct order of operations? Why use it? What is PEMDAS? more>> All Sites - 383 items found, showing 1 to 50
  • 10th Grade Math Assignments - Richard Briston A math teacher designs Web pages to serve as monthly math assignments, and as an introduction to the Internet and e-mail for his students at St.Mildred's-Lightbourn School in Oakville, Ontario, Canada. Student solutions are included for some assignments. ...more>>
  • 123math.ca - Math Made Easy
  • 51. SMILE PROGRAM MATHEMATICS INDEX
    SMILE PROGRAM mathEMATICS INDEX. The SMILE website is hosted by the Illinois Institute of Technology. The following is a collection of almost 200 single concept lessons. Use A Chair To teach math
    http://www.iit.edu/~smile/mathinde.html
    SMILE PROGRAM MATHEMATICS INDEX
    The SMILE website is hosted by the Illinois Institute of Technology
    The Mathematics lessons are divided into the following categories: Geometry and Measurement Patterns and Logic Probability and Statistics Recreational and Creative Math ... Algebra and Trigonometry , and Miscellaneous
    Geometry and Measurement
  • The Pythagorean Puzzle by Earl Zwicker - Illinois Institute of Technology - Dedicated to Prof. Harald Jensen, Lake Forest College
  • Areas of States - Estimation by Janice C. Harvey - Carver Middle School
  • Liquid Volume by Robert Foote - Disney Magnet
  • Spherical Geometry: A Global Perspective by William R. Colson - Morgan Park High School
  • Geometry Distance of Triangles using a Protractor by Eileen Lally - A. Philip Randolph Magnet School
  • Circles - Diameter, Circumference, Radius and the Discovery of Pi by Kathleen Ryan - Randolph Magnet School
  • How To Measure Area by Levi Johnson - James Otis
  • An Introduction to Pi and the Area of a Circle by Edwina R. Justice - Gunsaulus Scholastic Academy
  • Area and Perimeter by Monica Starks - John Fiske Elementary
  • Shapes (Geometric) (Lesson 2) by Violet M. Nash - Spencer Math and Science Academy
  • 52. Operations Research Models And Methods
    OM/IE Demos. ORMM Demos. operations Research Excel Demo Files. These are Excel data files (.xls) that demonstrate the addins. Most of them are illustrated in the computations section of this site .
    http://www.me.utexas.edu/~jensen/ORMM/frontpage/demo_xls
    Excel Demo Files OM/IE Demos ORMM Demos Operations Research Excel Demo Files These are Excel data files (.xls) that demonstrate the add-ins. Most of them are illustrated in the Computations section of this site. Some of the files have been compressed and stored with the (.zip) suffix. Download by clicking on the add-in name. The files may be expanded with the free Aladdin Expander . Save these files to a folder to your hard disk so you can view and change the files. OR_MM Add-ins for Operations Research Models Math Programming Optimize Combinatorics

    53. Common Errors In College Math
    This page describes the errors that I have seen most frequently in undergraduate mathematics, the likely causes of those errors, and their remedies. square roots, order of operations, ambiguously
    http://math.vanderbilt.edu/~schectex/commerrs
    Judging from the email response, this web page is my most popular work.) Browser adjustments: This web page uses sub scripts, super scripts, and the s mb l font, which display incorrectly on some browsers or platforms and for Unix print correctly even after the adjustments.) At some point when I have time, I'll probably rewrite this whole page using latex2html, since that seems to be the only format that presently works with all major browsers. And, yes, I know that the penguin doesn't represent all kinds of unix; but I don't think there is a cute logo that does. Note to teachers (and anyone else who is interested): Feel free to link to this page , tell your students about this page, or copy (with appropriate citation) parts or all of this page. And please write to me with your comments or suggestions. Eric Schechter , version of 20 May 2004.
    THE  MOST  COMMON  ERRORS  IN
    UNDERGRADUATE  MATHEMATICS
    This web page describes the errors that I have seen most frequently in undergraduate mathematics, the likely causes of those errors, and their remedies. I am tired of seeing these same old errors over and over again. (I would rather see new, original

    54. ENC Online: Web Links: Math Topics: Computation
    content areas of numbers, operations, and measurement see ENC Record.); A+ math ENC Digital activities for practicing arithmetic computation, reducing fractions
    http://www.enc.org/weblinks/math/0,1544,1-operations computation-any-Computation
    Skip Navigation You Are Here ENC Home Web Links Math Topics Search the Site More Options Classroom Calendar Digital Dozen ENC Focus ... 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.
    Math Topics
    Lists of web sites categorized by subject areas within mathematics.
    Computation
  • Learning math: number and operations
    Featured in ENC Focus ENC Digital Dozen Site
    Date: Grade(s): K - 8 Cost: Free ENC#:
    This Internet site offers a college-level online mathematics course designed to teach concepts involving numbers and operations to teachers of elementary and middle school. The site focuses on the relationships among numbers and operations and attempts to engage teachers through video lessons, problem-solving activities, and online demonstrations.
    (For more details, see ENC Record
    Math fundamentals problem of the week

    Featured in ENC Focus ENC Digital Dozen Site
    Date: Grade(s): Cost: Free ENC#:
    This Internet site, developed by the Math Forum, features nonroutine problems for students working in the content areas of numbers, operations, and measurement, as well as introductory geometry, data, and probability. The problems are designed to help elementary students learn to problem-solve and communicate mathematically.
  • 55. Mathematics-Related Professions
    to air traffic control operations; use simulated Statistics, Prudential Securities, International Computer Science Institute Kouba at kouba@math.ucdavis.edu .
    http://www.math.ucdavis.edu/~kouba/MathJobs.html
    Why Choose a Mathematics-Related Profession ?
    Mathematics teaches patience, discipline, and step-by-step problem-solving skills. For those with a substantial background in mathematics, an unlimited number of career opportunuities are available. According to Jobs Rated Almanac , a 1990 publication of World Almanac Books of New York, NY, careers that require a very strong background in mathematics were listed as the five "best" jobs. They were :
    • software engineer
    • actuary
    • computer systems analyst
    • computer programmer
    • mathematician
    Almost all of the top fifty jobs in this "best" jobs list involved mathematical reasoning and knowledge. This list was the result of the comparison of two hundred fifty jobs classified according to :
    • income
    • future outlook
    • physical demands
    • job security
    • stress
    • work environment
    A List of Professions
    The following list briefly describes work associated with some mathematics-related professions :
    • actuary assemble and analyze statistics to calculate probabilities of death, sickness, injury, disability, unemployment, retirement, and property loss; design insurance and pension plans and ensure that they are maintained on a sound financial basis
    • mathematics teacher introduce students to the power and beauty of mathematics in elementary, junior high, or high school mathematics courses

    56. Tom Snyder Productions: Product Details
    Use computation to solve realworld mathematical problems. Understand variables and equations; use the order of operations. Title PrimeTime math Fire!
    http://www.tomsnyder.com/products/product.asp?SKU=PTMFIR

    57. New Math
    him to understand the need for computation, which operations to use, and how to use those operations. He practices mental arithmetic during Minute math and 5
    http://www.dg58.dupage.k12.il.us/schools/pd/newmath.htm
    New Math Frequently Asked Questions for the Everyday Mathematics Program Grades K - 5 Parent Involvement Basic Facts Computation Focus Algorithms ... Standardized Test Parent Involvement Q: How can I get involved? How can I reinforce my child's mathematics learning at home? A: Communicate with your child's teacher on a regular basis. If possible, volunteer to help with Explorations or Projects. Attend school functions, such as Math Night, planned to inform you about Everyday Mathematics and your child's progress. At home, talk with your child about real-life situations that involve mathematics, such as buying groceries or balancing the checkbook. Ask your child to "teach" you the mathematics lessons he is learning, including favorite games and creative solution strategies. Ask your child to bring home the Grade 3, 4, 5 Student Reference Books to share together. Basic Facts Q: Will my child learn and practice basic facts? A: Your child will learn and practice all of the basic facts in many different ways without having to complete an overwhelming number of drill pages. She will play mathematics games in which numbers are generated randomly by dice, dominoes, spinners, or cards. She will work with Fact Triangles, which present fact families and stress the addition/subtraction and multiplication/division relationships. In fourth grade, she will take timed "50-facts" multiplication tests that will require her to learn the facts she does not already know. She will have continuing access to addition/subtraction and multiplication/division fact tables that will serve as references for the facts she does not yet know and as records of the facts she does. She will also take part in short oral drills to review facts with her classmates.

    58. SEDL - Math And Science Online Mentoring: Search Results
    computation We are searching for developmentally appropriate techniques for teaching computation at a K K5. 28, math - Number and operations, teaching place
    http://www.sedl.org/cgi-bin/mysql/scimast-archives.cgi?camefrom=m&level=K-5

    59. SEDL - Math And Science Online Mentoring: Search Results
    for developmentally appropriate techniques for teaching computation at a K is an item listed as a math skill called 15, powers and the order of operations If you
    http://www.sedl.org/scimast/archives/lists/m-numberandoperations.html
    Your search results:
    Number and Operations. You may also browse by Math Topic Area:

    Topic: Math - Number and Operations
    Subject Grade
    Level
    creative ways to teach probability
    What are some creative ways to teach the concept of probability to 3rd graders? K-5 first week fun with palindromes
    I need a first day math activity for advanced 4th and 5th graders.Something already using what they know but in a different way.Something to get acquainted with each other on the first day ofschool. K-5 introducing regrouping with addition and subtraction
    Could you please share some strategies for introducing regrouping with addition and subtraction. I teach 33 second graders. K-5 rhyming times table
    My daughter is in sixth grade and is still having trouble memorizing her times tables. She is able to remember if she has a rhyming sentence to remember it by. Do you know of any resources that may have a rhyming times table? K-5 teaching computation
    We are searching for developmentally appropriate techniques for teaching computation at a K-2 school. We would appreciate either the research or the sites for the research that supports the abovementioned techniques.

    60. Computation - Operations Research Models And Methods
    must have access to a Macintosh or IBM compatible computer with the math Programming Models. operations Research Models and Methods Internet by Paul A. Jensen
    http://www.me.utexas.edu/~jensen/ORMM/computation/unit/addin_basics/using.html

    Computation
    Add-in Basics Using Add-ins In Case of Trouble Source Code Join the Club Using Add-ins Version of Excel To use the programs in this package, you must have access to a Macintosh or IBM compatible computer with the Microsoft Excel program installed. For the Windows operating system, the version of Excel must be 97 or later. For the Macintosh operating system the version must be 98 or later. The Solver Add-in that comes with Excel should also be installed to solve deterministic optimization problems.
    Installing Add-ins The Add-ins files may be placed anywhere on the hard disk or even on a floppy disk. One procedure is to create a directory (or folder) entitled "jensen.lib" and place it in the directory called "Add-ins" created by the Microsoft installation program. The add-in files are then placed in the "jensen.lib" directory. Alternatively, the add-in files may placed in any directory on the hard disk. It is important to put all the ORMM add-ins in the same directory. To use an Add-in first open the Excel program. Choose the "Add-Ins" command from the Tools menu. A dialog box showing the current list of Add-ins appears as in the figure below. Add-ins are identified by name. A check in the box next to the name means that the add-in is installed, while an unchecked box means that it is not installed. If an add-in that you want does not appear in the list use the Select... or Browse... button to move to the directory in which the ORMM add-ins are stored. The most convenient way to use the ORMM add-ins is to first install the Add ORMM add-in. All the others can be installed from the dialog box of the Add ORMM add-in.

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