Math 180 Materials, Winter 2008

Links to sections of this page:  Syllabus/Homework; Helpful resources; Class materials; Test information; HW Solutions
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Students' Rights & Responsibilities Code:  Links to the SR&R for Highline and Washington State

Textbook readings and assignments:  (Updated 3/8/08)

• HW #1 (Concept of "Number"):  Word; PDF
• HW #2 (Number and Numeration; Creating own number system):  Word; PDF
• HW #3 (Structure of Number Systems; Concept map for numbers/counting):  Word; PDF
• HW #4 (Structure of Whole Numbers; Concepts of + and –):  Word; PDF
• HW #5 (Computational Algorithms for + and –; Concept map for + and –):  Word; PDF
• HW #6 (Concepts of ´ and ÷; Midterm self-reflection):  Word; PDF
• HW #7 (Computational Algorithms for ´ and ÷; Concept map for ´ and ÷):  Word; PDF
• HW #8 (Estimation; Algorithms for decimals and fractions; Intro to Ratios and Percents):  Word; PDF
• HW #9 (Concepts of Ratios, Percentages, & Proportions; Lesson plan project):  Word; PDF + Individual Evaluation:  Word
• HW #10 (Problem solving & final self-evaluation):  Word; PDF + Supplement:  Word; PDF

<For instructors – Semi-detailed lesson plans & assessment overview:  Word (updated 3/4/08)>

Materials given out in class –

• Sample of WASL questions from grade 4 through high school:  Word
  These questions, along with scoring guides and samples of student work, can be obtained by going to http://www.k12.wa.us/, choosing “Mathematics Assessment” from the “Assessment” drop-down menu, and clicking the link to “Tools/Resources.”  Look for the “Released Item Documents” (RIDs).

Useful links or materials for 180 students –

• Online electronic manipulatives (same as those described by the textbook); Other manipulatives:  Univ. of Missouri
• Online mathematics explorations
• Information on Washington mathematics standards (EALRs and GLEs)
• Information on requirements for the PRAXIS-II teacher certification test (to be rated "Highly Qualified" under NCLB)
• Links to K-12 math curricula and other resources (here's a sample of the 1st-grade CEMREL math Erik was taught)
• Tom Lehrer's "New Math" song from his CD, "That Was the Year that Was" (originally released in 1965)
  -- here are two homemade videos from YouTube:  hand-drawn, lecture-style; another particularly amusing CD of his is
  "An Evening Wasted With Tom Lehrer" (see Amazon.com); you might also want to hear his "The Elements".
• The online "Mind Reader" (the lower right corner of the Mind Reader contains a link to creator Andy Naughton's website).
  And for those who are unwilling to figure out for themselves how or why it works, I've provided an explanation here.
• A demonstration of complex mental calculations with a strategy at the end
• Clip from TV show "Ma & Pa Kettle" showing arithmetic paradox
• Information about the role of the Golden Ratio in cosmetic surgery and definitions of beauty.

Additional Reading –

• A list of books with mathematical themes (ranging from stories and histories to mathematics research):  HTML
• Erik's essay on the purpose of education and role of the disciplines in people's lives:  Word
• Erik's description of mathematics as a study of patterns:  Word
• [PDF format] With an Eye on the Mathematical Horizon:  Dilemmas of Teaching Elementary School Mathematics; Deborah Loewenberg Ball, The Elementary School Journal, University of Chicago; 1993; Vol. 93, No. 4; 25 pages.
• [HTML format] Making it their own: Preservice teachers' experiences, beliefs and classroom practices; Carolyn Stuart; Deborah Thurlow; Journal of Teacher Education, Washington; Mar/Apr 2000; Vol. 51, Iss. 2; pg. 113, 9 pgs.
• [HTML format] Mathematics anxiety and learning styles: What is the relationship in elementary preservice teachers?; Tina Sloan; C J Daane; Judy Giesen; School Science and Mathematics, Bowling Green; Feb 2002; Vol. 102, Iss. 2; pg. 84, 4 pgs.
• Video:  Math Education:  An Inconvenient Truth (this is M. J. McDermott's argument against the math curricula being used in the Seattle area in 2007), and the first part of a response to that video.

• For a list of web sites that may help you review your arithmetic, click here, or use the worksheet creator here.
• SPT #1 (Decimal arithmetic and rounding):  Word; Answers:  Word
• SPT #2 (Fraction arithmetic and simplifying):  Word; Answers:  Word
• SPT #3 (Solving and graphing equations):  Word;  Answers:  Word
• SPT #4 (Setting up and computing with ratios, proportions, and percents):  Word; Answers:  Word

Teacher Proficiency Tests –  These measure your ability to explain ideas or use alternative strategies for tasks expected of K-8 students.  They may also include tasks that require you to identify and explain the reasoning behind student error patterns.

• TPT #1 (Sources of math standards, concept of number, properties of number systems):  Word; Answers:  Word
• TPT #2 (Concepts of and representations for factoring , +, and – with whole numbers):  Word; Answers:  Word
• TPT #3 (Concepts, representations, and algorithms for basic whole number operations):  Word; Answers:  Word
• TPT #4 (Estimation, algorithms for computing with fractions & decimals, ratios/percents):  Word; Answers:  Word

See HW #10 for supplemental assignment to replace TPT #4.

Projects/Portfolios/Exams:

• Examples of scoring rubrics for concept maps, written work, and presentations:  Word
• Midterm self-assessment:  See HW #6 above.
• Final self-assessment:  See HW #10 above

HW 1

HW 2

HW 3

HW 4

HW 5

HW 6

HW 7

HW 8

HW 9

HW 10

*Proof justifying why Sec. 7.3A #25 works:  Word

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