Mathematics 4020 - Math for Elementary School Teachers II, Fall 2009

opstall@math.utah.edu

You will need: Musser, Burger, Peterson: Mathematics for Elementary Teachers, 7th ed. NOTE THIS IS NOT THE CURRENT EDITION. Scientific calculator. Ruler. Protractor. Compass. Scissors.

Exams: September 16, October 9, November 16

Final exam: December 15, 8:00-10:00 am

Content

This course is the second in a sequence of two semesters of mathematics courses required for elementary school teachers. The sequence is designed to provide K-6 pre-service teachers with a conceptual framework for mathematics, especially for those aspects normally experienced in primary and elementary school. Through their work in the sequence of courses students examine the common threads of mathematics throughout the K-12 curriculum, consider both mathematical and pedagogical issues in teaching, and spend a six-hour practicum in a local school relating their course work to the classroom mathematics.

The M4020 course in particular focuses on Probability, Statistics and Geometry.

Assignments will be due on Fridays, unless otherwise announced. Homework must be turned in on time, stapled if several pages, and have work shown to receive credit. Credit will not be given if these conditions are not met. Late homework loses a point for every class period it is late.

The course includes a practicum component, which is described below. All course materials must be collected in a portfolio.

Portfolio: Each student must collect all course work - graded homework, exams, class notes, and other items mentioned in class - in a portfolio, to be turned in for credit at the end of the semester. More information will come later.

Practicum: Each student will spend six hours in an elementary school classroom, three periods observing, and three periods presenting lessons to small groups of children. You are encouraged to select a different grade (differing by two or more) than you did in 4010. The topic you work on must be area or measurement. This classroom experience will be the subject of both assignments and class discussion, so observations should be completed by October 5 and lesson presentations before Thanksgiving. A typewritten evaluation of this experience is due on November 25. For more information about the practicum and practicum report, click here.

If you need extra copies:

Grading: Midterms - 40%, Final - 25%, Portfolio - 5%, HW - 15%, Practicum Report - 15%.

You can find here the Utah elementary school core curriculum to see exactly where various notions are taught.

Tentative schedule

Date	Section	Homework	Related materials
8/24	12.1	12.1B: 4,11,13,15-17 (due 8/28)	An online geoboard Table of shapes
8/26	12.1-12.2	12.2B: 2,8,9,11,12 (due 9/4)
8/28	12.2	Make two Venn diagrams - one for letters andone for numbers - diagramming horizontal, vertical, and rotational symmetry (due 9/4).
8/31	12.3-12.4	12.3B: 2,4,7-9,15, and color a map of the US with as few colors as possible (due 9/4)	Map coloring pages
9/2	12.4	12.4B: 2-6, 12, 15 (due 9/11)
9/4	13.1	13.1B: 2,3,6,16,18,19,22 (due 9/11)
9/9	13.1-13.2	13.2B: 6a,7,11a,15,20,23,30,31 (due 9/18)
9/11	13.2	Exam review: p. 635: 4,6,10; p. 636: 1-3,5,6,8-10,15,19,20,22; p. 707: 3,6; p. 708: 1,2,4-6,10,11,15,20
9/14	Review
9/16	Exam I
9/18	12.5	12.5B: 4,6,7,10,15,17 (due 10/2)	Polyhedron nets
9/21	13.3	13.3B: 1-6,8,9,14 (due 10/2)
9/23	13.3-13.4	13.4B: 1-4,6,10,14,19,25 (due 10/2)
9/25	13.4
9/28	13.3-13.4
9/30	13.3-13.4
10/2	13.3-13.4
10/5	Observation discussion
10/7	Review	Review problems: pp 636-637: 1gij, 4, 11, 18; pp 708-709: 1cdh,9,18,19,21-23; pp. 771-772: 2,6,7,12-14,20
10/9	Exam II
10/19	10.1	10.1B: 2,4-9,11-13,18-23 (due 10/30)
10/21	10.1-10.2
10/23	10.2	10.2B: 3-5,8,11,15,18-23 (due 10/30)
10/26	11.1
10/28	11.1-11.2	11.1B: 2-4,8,12,13,15,16,19 (due 11/6)
10/30	11.2	11.2B: 2,4,7,10,12,13,16,19 (due 11/6)
11/2	11.3
11/4	11.3-11.4	11.3B: 1,3,4,5,7,12,13,21
11/6	11.4	11.4B: 8,9,13-15
11/9,11/11	11.3-11.4	Roulette activity
11/13	Review	Review problems: p. 498: 1,4-6,9,13,14,21,22; p. 562: 1,4,5,7-10,18,22,23
11/16	Exam III
11/18	14.1	14.1B: 1,2,4,5,7 (due 12/4)
11/20	14.2	14.2B: 1,2,5,7,11 (due 12/4)
11/23	14.3	14.3B: 1-5,8,12,17 (due 12/4)
11/25	14.4, Practicum due	14.4B: 1,3,4,12,13,15 (due 12/4)
11/30	14.5
12/2	Revisit ch. 12
12/4	Revisit ch. 13
12/7	Revisit ch. 10
12/9	Revisit ch. 11
12/11	Review	More problems for review: from Chapter Tests: p. 496: 10.1 #5,6; 10.2 #1-4 p 559ff: 11.1 #1,4; 11.2 #1,3; 11.3 #4,5; 11.4 #4,6 p633ff: 12.2 #3,4; 12.3 # 1,2; 12.4 #4; 12.5 #4 p705ff: 13.1 #7,8; 13.2 #2,4; 13.3 #4; 13.4 #4 p 769ff: 14.1 #3; 14.2 #4; 14.3 #1-7; 14.4 #1,2