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Professional Development


Learning Math: Number and Operations
Applying the NCTM standards
Grade Levels:
K-8
Length:
30 minutes
Taping Rights:
School year
Web Site:
Annenberg
Teaching Materials:
See Below

This Annenberg Media professional development course for elementary and middle school teachers examines the three main categories in the Number and Operations strand of the NCTM’s Principles and Standards of School Mathematics: understanding numbers, representations, relationships, and number systems; the meanings of operations and relationships among those operations; and reasonable estimation and fluent computation. The programs are designed both to deepen teachers’ own understanding of such topics as the real number system, place value, zero and infinity, percentages, modeling operations with fractions, factors and multiples, and divisibility tests and to suggest ways to improve classroom instruction in these areas.



Broadcast Schedules

Individual episodes of Learning Math: Number and Operations may also air on KET4. See the complete Learning Math broadcast schedule for details.


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2007/08 Block Feeds on KET ED

Block Feed: Programs 101-108 Program Details
3 hours, 59 minutes
    Friday, October 5 at 4:00 pm on KETED
    Friday, April 11 at 4:00 pm on KETED
    Tuesday, May 20 at 6:00 am on KETED

Block Feed: Programs 109-112 Program Details
1 hours, 59 minutes
    Friday, October 12 at 4:00 pm on KETED
    Friday, April 18 at 4:00 pm on KETED
    Tuesday, May 20 at 2:00 pm on KETED


Episodes Included in These Block Feeds

101. Video 1. What Is a Number System?
The nature of the real number system, the elements and operations that make up the system, and some of the rules that govern the operations; a finite number system that follows some (but not all) of the same rules; using a number line to classify numbers and to examine how the numbers and operations relate to one another. 27 minutes.

102. Video 2. Number Sets, Infinity, and Zero
The number line and the relationships among sets of numbers in the real number system; operations and properties that apply to each of the sets; the magnitude of these infinite sets; the various "sizes" of infinity; place value and the significance of 0 in a place value system. 27 minutes.

103. Video 3. Place Value
Place value systems based on numbers other than 10; the base 2 numbers and their use in computers; exponents and logarithms; the use of scientific notation to represent very large or very small numbers; interpreting whole numbers, common fractions, and decimals in base 4. 27 minutes.

104. Video 4. Meanings and Models for Operations
The operations of addition, subtraction, multiplication, and division and their relationships to whole numbers; area models for multiplication and division; using two-color chips to model operations with positive and negative numbers. 27 minutes.

105. Video 5. Divisibility Tests and Factors
Alpha math problems and how they help with the conceptual understanding of operations; how and why various divisibility tests work; introduction to factors and multiples. 27 minutes.

106. Video 6. Number Theory
Visual methods for finding least common multiples and greatest common factors, including Venn diagram models and area models; definition of prime numbers; locating prime numbers on a number grid and determining whether very large numbers are prime. 27 minutes.

107. Video 7. Fractions and Decimals
Terminating and non-terminating decimals; predicting the number of decimal places in a terminating decimal and the period of a non-terminating decimal; which fractions terminate and which repeat as decimals—and why all rational numbers must fall into one of these categories; converting between decimals and fractions; using benchmarks and intuitive methods to order fractions. 27 minutes.

108. Video 8. Rational Numbers and Proportional Reasoning
A model for computations with fractions; proportional reasoning and the difference between absolute and relative thinking; representing proportional relationships and the resulting operations with ratios; ratios as either part-part or part-whole comparisons and how the distinction affects their behavior in computations. 27 minutes.

109. Video 9. Fractions, Percents, and Ratios
An area model for multiplication and division with fractions; operations with decimals; percents and the relationships among representations using fractions, decimals, and percents; benchmarks for understanding percents, especially those less than 10 or greater than 100; using an elastic model, an area model, and other models to discuss percents; some ratios that occur in nature. 27 minutes.

110. Video 10. Classroom Case Studies, K-2
Teachers of grades K-2 who have participated in the course explain and illustrate how they have adapted their new knowledge to their own classrooms. 27 minutes.

111. Video 11. Classroom Case Studies, 3-5
Teachers of grades 3-5 who have participated in the course explain and illustrate how they have adapted their new knowledge to their own classrooms. 27 minutes.

112. Video 12. Classroom Case Studies, 6-8
Teachers of grades 6-8 who have participated in the course explain and illustrate how they have adapted their new knowledge to their own classrooms. 27 minutes.

Teaching Materials

VIDEO
http://www.learner.org/resources/series171.html
Annenberg Media Educational Sales
(202) 879-9600
401 9th St. NW
Washington, DC 20004
info@learner.org

VIEWER'S GUIDE
http://www.learner.org/resources/series171.html
Annenberg Media Educational Sales
(202) 879-9600
401 9th St. NW
Washington, DC 20004
info@learner.org



Kentucky schools may tape and retain programs according to the rights listed above. For further information, contact the KET Education Division.

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Last Updated: Friday, 30-Nov-2007 12:14:16 EST