Subsets, proper subsets, universal set, empty set, complement, construction of subsets. The two big ideas of sets are inclusion and exclusion. For MAT 141, Mathematical Models I. © 2008 by Raymond E. Griffith.
This is a collection of videos to help with MAT 141, Mathematical Models I. This course is primarily for those who are thinking about teaching mathematics in the elementary school, although it is open to others in the Associate of Arts or Sciences degrees.
14:22
141 4_2_1 Prime and Composite Numbers M2U00441.mp4
Finding prime numbers using the Sieve of Eratosthenes. Definition of prime and composite numbers. 14m22s
17:21
141 4_1_4 More Rules of Divisibility M2U00436_7.mp4
Divisibility rules for 7 and 13 are explored. How do we work out general rules for divisibility? 17m21s © 2008 by Raymond E. Griffith.
23:49
141 4_1_3 Rules of Divisibility pt 2 M2U00435.mp4
We prove the rule for divisibility by 3, and then do divisibility by 4 and 5. 23m50s © 2008 by Raymond E. Griffith.
17:09
141 4_1_2 Rules of Divisibility pt 1 M2U00435a.mp4
Rules for divisibility by 2 and by 3. General divisibility rules are explored for use in proving our ideas. 17m10s © 2008 by Raymond E. Griffith.
17:32
141 4_1_1 Finding all the Factors of a Number M2U00426.mp4
We look at the idea of divisibility, factors, and the ways that different factors create the same product. 17m32s © 2008 by Raymond E. Griffith.
17:32
141 4_1_1 Finding all the Factors of a Number M2U00426.mp4
We look at the idea of divisibility, factors, and the ways that different factors create the same product. 17m32s © 2008 by Raymond E. Griffith.
18:10
141 2.4.4 Conversions with other Bases M2U00406.mp4
Conversion techniques between base ten and other bases 18m10s © 2008 by Raymond E. Griffith.
22:54
141 2.4.3 Hindu-Arabic Number System _ Other bases M2U00405.mp4
We describe the basis for a positional system. The Hindu-Arabic system (base 10) is explored, and compared with other grouping schema. 22m54s © 2008 by Raymond E. Griffith.
20:25
141 2.4.2 Ancient Numeration II M2U00404.mp4
Exploring the way ancient civilizations expressed numbers and counting. Mayan and Roman numeration explored. 20m25s © 2008 by Raymond E. Griffith.
29:14
141 2.4.1 Ancient Numeration I M2U00403.mp4
Exploring the way ancient civilizations expressed numbers and counting. Talleys, Egyptian, and Babylonian systems explored. 29m14s © 2008 by Raymond E. Griffith.
11:46
141 2.3.2 Multiplication Division of Whole Numbers M2U00389.mp4
Exploring the properties of multiplication, including a good example of the distributive property. 11m46s © 2008 by Raymond E. Griffith.
24:02
141 2.3.1 Multiplication Division of Whole Numbers M2U00388.mp4
Two different ways of defining multiplication of whole numbers: repeated addition and cartesian product of sets. 12m15s © 2008 by Raymond E. Griffith.
12:15
141 2.3.1 Multiplication Division of Whole Numbers M2U00388.mp4
Two different ways of defining multiplication of whole numbers: repeated addition and cartesian product of sets. 12m15s © 2008 by Raymond E. Griffith.
05:39
141 2.2.3 Addition Subtraction of Whole NumbersM2U00387.mp4
Does subtraction have the same kind of properties as addition under the whole numbers? A short investigation. 5m39s © 2008 by Raymond E. Griffith.
22:47
141 2.2.2 Addition Subtraction of Whole Numbers M2U00386.mp4
Finishing the construction of the definition and properties of addition of whole numbers by way of set manipulations. Definitions of subtraction. Number line examples. 22m47s © 2008 by Raymond E. Griffith.
28:23
141 2.2.1 Addition Subtraction of Whole Numbers M2U00380.mp4
Construction of the definition and properties of addition of whole numbers by way of set manipulations. 28m23s © 2008 by Raymond E. Griffith.
20:09
141 2.1.2 Sets and Whole Numbers - Subsets.mp4
Subsets, proper subsets, universal set, empty set, complement, construction of subsets. The two big ideas of sets are inclusion and exclusion. For MAT 141, Mathematical Models I. © 2008 by Raymond E. Griffith.
21:21
141 2.1.3 Sets and Whole Numbers - How many? Cardinality and Whole Numbers.mp4
How many subsets does a set have? Construction of the formula. One-to-one correspondence. A whole number as the cardinal value for a set. Greater than and less than as a set-cardinality comparison. © 2008 by Raymond E. Griffith.
19:16
141 2.1.1 Sets and Whole Numbers - Basic Definitions.mp4
Basic definitions of sets. Equal and equivalent sets, subsets. For MAT 141, Mathematical Models I. © 2008 by Raymond E. Griffith.
A discussion of Polya's description of how to Solve Problems. For 141, Mathematical Models.
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