Instructor:  Dr. William Haigh

Office:  MJ-217 (Phone 626-2629)

Office Hours:  10:00  - 10:50 MWF       11:00 - 11:50 a.m. TT       1:00 - 1:50 p.m. TT     Help Sessions 7:30 - 8:00 a.m.  Daily
                               Other times by appointment

Textbook:  A Problem Solving Approach to Mathematics for Elementary Teachers (7th Edition) by Billstein.
The knowledge base for students in all teacher education programs at Northern State University is organized around the following categories: 1) knowledge of self as an individual, 2) knowledge of content,  3) knowledge of the learner, 4) knowledge of pedagogy, and 5) knowledge of self as a teacher and member of a learning community.

The knowledge base for students in MATH 341, Math Concepts for Teachers I, is organized around knowledge of content, knowledge of the learner, and knowledge of pedagogy.  The Foundations of Mathematics class contributes to these categories by 1) presenting mathematics concepts in an intellectually honest and mathematically correct manner, 2) identifying and making use of various problem solving strategies throughout the entire course, 3) emphasizing mathematical reasoning as opposed to memorization of facts, and 4) presenting the material in the context of the NCTM Curriculum Standards.

Topics Covered:

• Problem Solving (patterns, sequences, Polya's 4 steps, strategies,   using calculators to solve problems, NCTM Standards)
• Sets, Functions, and Logic (set operations, properties, equivalence relations, Venn diagrams, functions, truth tables)
• PC Logo (problem solving by writing Logo procedures)
• Numeration Systems (Egyptian, Babylonian, Mayan, Roman, Hindu- Arabic, whole number operations, models, algorithms, estimation, other number bases)
• Integers (Addition, subtraction, multiplication, division, order, equations, inequalities)
• Number Theory (Divisibility, primes, composites, gcd, lcm, modular arithmetic)
• Rational Numbers (fractions, addition, subtraction, multiplication, division, ordering)
• Exponents and Decimals (operations, properties, irrational numbers, real numbers, radicals, rational exponents)
• Application of Mathematics (Algebraic thinking, word problems, lines, ratio and proportion, percents, and interest)

    Ongoing Assessment 1-1:    Problems 1, 2, 3, 5, 6, 7, 9, 10, 12, 13, 15, 16, 17, 18, 19, 21, 26
    Ongoing Assessment 1-2:    Problems 1, 2, 5, 7, 9, 10, 11, 12, 13, 14, 16, 17, 19, 20, 22, 24, 25
    Ongoing Assessment 1-3:   Problems 1, 2, 4, 5, 7, 8, 9, 11, 12, 13, 18, 19, 20, 21
    Chapter Review (pages 55-56): Problems 1 - 22
    Ongoing Assessment 2-1:   Problems 1 - 15
    Ongoing Assessment 2-2:   Odd numbered problems through 29
    Ongoing Assessment 2-3:   Problems 1 - 18 & 31, 32, 36, 37
    Ongoing Assessment 2-4:   Odd numbered problems through 27
    Ongoing Assessment 2-5:   Even numbered problems through 20 and problems 26 & 27
    Chapter Review (pages 121-122):  Even numbered problems through 26
    Test I
    Ongoing Assessment Appendix II (Graphing Calculators):  To be assigned
   Ongoing Assessment 3-1:  Odd numbered problems through 27
    Ongoing Assessment 3-2:  Odd numbered problems through 27
    Ongoing Assessment 3-3:  Odd numbered problems through 31
    Ongoing Assessment 3-4:  Problems 1 - 20
    Ongoing Assessment 4-1:  Odd numbered problems through 29
    Ongoing Assessment 4-2:  Odd numbered problems through 29
    Ongoing Assessment 4-3:  Even numbered problems through 22
    Ongoing Assessment 4-4:  Problems 1, 2, 3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 18, 21, 22, 23, 24, 25
    Ongoing Assessment 4-5:  Odd numbered problems through 225 and problems 36, 37, & 38
    Chapter Review (pages 243-244):  Odd numbered problems through 29
    Test II
    Ongoing Assessment Appendix I (Logo):   To be assigned.
    Ongoing Assessment 5-1:  Even numbered problems through 30
    Ongoing Assessment 5-2:  Even numbered problems through 26
    Ongoing Assessment 5-3:  Odd numbered problems through 39
    Ongoing Assessment 5-4:  Even numbered problems through 24
    Chapter Review (pages 290-291)  Odd numbered problems through 23
    Ongoing Assessment 6-1:  Problems 1 - 15
    Ongoing Assessment 6-2:  Problems 1 - 20
    Ongoing Assessment 6-3:  Problems 1 - 13 and problems 18, 19, & 20
    Ongoing Assessment 6-4:  Odd numbered problems through 31
    Ongoing Assessment 6-5:  Odd numbered problems through 17
    Ongoing Assessment 6-6:  Odd numbered problems through 31
    Test III

Grading and Attendance Policy:  Final grades shall be based upon the total points earned individually and as part of a group in (1) chapter examinations, (2) homework assignments, (3) quizzes, and  (4) the final examination.  The attendance policy is made to coincide with these four areas.  Homework and quizzes may not be "made-up."  Grading for the course will be based on a total of 540 points as follows:
    Best 7 of 11 quizzes & homework assignments                    70 points
    Three chapter examinations                                                    300 points
    Two Technology Assignment @  25 pts                               50 points
    Comprehensive final                                                               120 points
    Total possible points                                                               540 points

Course grades are based on the total points obtained with letter grades assigned according to the following percentages:
 A - 90% to 100%               B - 80% to 89.9%                C - 70% to 79.9%               D - 60% to 69.9%                  F - below 60%

Chapter Examinations: Chapter examinations will be announced at least one week prior to the day they are to be given.  Should the student have another event scheduled during the examination time, arrangements to make up the examination to be missed must be made between the student and Dr. Haigh.  The arrangements must be agreed upon prior to the examination day.  If a student is unable to take a chapter examination because of illness, family or individual emergencies, or weather conditions, Dr. Haigh should be informed as soon as possible and arrangements to make up the examination will be made.

Homework & Quizzes:  Homework assignments and quizzes will not be allowed to be "made-up."

Final Examination:  The final examination will be a cumulative test over chapters 1-6 and will be held on Wednesday, May 7,  2003 from 12:00 to 2:00 p.m. in MJ-241.

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