MATH 109

MATHEMATICS for ELEMENTARY EDUCATION

 Monday and Wednesday 3:30 to 5:55 PM in A206    4 UNITS

Instructor Larry Green

Email:   DrLarryGreen@gmail.com

Phone:  (530) 541-4660 x 341

 

Text: Mathematical Reasoning for Elementary Teachers 6th edition by Long, De Temple, and Millman

Course Description This course is designed for prospective elementary and middle school teachers.  Emphasis is placed on the mathematical knowledge needed for teaching in grades as high as eighth.  We will focus on conceptual understanding of the topics including WHY things work and why other things do not work.  The depth of your basic skills in math will be increased during this course as you participate in solving problems and performing operations in a number of different ways.  There will also be a pedagogical focus including using a variety of teaching and learning styles through out the course including manipulatives, observations, investigations, written projects, discussion questions, small group activities, and appropriate use of technology.  In addition, I hope that you will leave the class excited about teaching math to others.

Student Learning Outcomes

  1. Analyze multiple approaches to solving problems from elementary and advanced levels of mathematics.
  2. Compare and contrast the concepts and structures of several different numeration systems, including their historical development.
  3. Evaluate numeric algorithms and explain the advantages and disadvantages of equivalent algorithms in different circumstances as it relates to the teaching of K-8 students.
  4. Create an active learning environment to express mathematical ideas to elementary and middle school children.     
     

Prerequisite A grade of C or better in Math 154A or an equivalent class within the past two years, or a satisfactory score on the assessment test.

Grading Policy Your letter grade will be based on your percentage of possible points.

A 90 -- 100%         C 70 -- 79%

B 80 -- 89%            D 60 -- 69%

Homework:............................................................ 10%

Participation:  ....................................................... 10%

Regular Exams:  .................................................. 20%

Observation Papers:  .......................................... 10%

Presentations:  .................................................... 25%

Final Exam:  ........................................................ 25%

 

Exam Policy Students are to bring pencils or pens, and paper to each in class exam.  Grading will based on the progress towards the final answer, and the demonstration of understanding of the concept that is being tested, therefore, work must be shown in detail. There are no makeups for the exams and quizzes. With a valid proven medical excuse, the missed test will not be counted toward the grade.  The final exam cannot be taken late.  

Homework Policy:  Homework is to be turned in at the beginning of class.  Half the homework grade will be based on the feedback that you provide to your fellow students. 

Presentations:  Presentations will be given that include you and a partner demonstrating effective teaching techniques, a lesson plan, and a discussion of what deeper background mathematics is behind the topic presented.  More explanation will be given in class.

Observations:  Each student is required to make observations of an actual math class at an elementary or middle school.  More about this will be discussed in class.



Office Hours:

Monday  ............................  10:40 to 11:40           MSC

Tuesday..........................      3:00 to 4:00              A210

Wednesday ....................      2:30 to 3:30             A210

Thursday........................       12:00 to 1:00           MSC

Friday........................            10:40 to 11:40         A210



CALCULATORS: A basic calculator is required for this class.

LEARNING DISABILITIES: If you have a learning disability, be sure to discuss your special needs with me.  Learning disabilities will be accommodated and you may contact our disability resource center by email or by phone at (530) 541-4660 x 384.

TUTORING:  Tutors are available at no cost in A 201 (The Math Success Center). 

CELL PHONES:  Cell phones must be turned off while class is in session.  A 5% penalty will be given to any student whose cell phone goes off during an exam.

A WORD ON HONESTY:  Cheating or copying will not be tolerated. People who cheat dilute the honest effort of the rest of us.  If you cheat on a quiz, exam, or project you will receive an F  for the course, not merely for the test.  Other college disciplinary action including expulsion might occur. Please don’t cheat in this class.  If you are having difficulty with the course, please contact me.



ASSIGNMENT AND EXAM SCHEDULE  (tentative and subject to change)       


Week 1         Chapter 1:  Problem Solving     

April 2:        Introductions                 

April 4:         1.1    2,8,10,12,15
                    1.2    5,9,14,20,23


Week 2           Chapter 1:  Problem Solving,  Chapter 2:  Sets and Whole Numbers

April 9:            1.3    6,9,15
                       1.4     5,9,18
                       1.5     4,8,13,20

April 11:         1.6     4,9,12,18
                       2.1    6,14,25
                       2.2    9,13,36


Week 3             Chapter 2:  Sets and Whole Numbers,  Chapter 3:  Numeration and Computation

April 16:          2.3    10,16,19
                       2.4     6, 17,31,43
                       3.1    6,8,9

April 18:          3.2    10,13,18
                       3.3    3,17,23
                       3.4    8,13,17,24


Week 4       Chapter 3:  Numeration and Computation,  Chapter 4: Number Theory,  Chapter 5:Integers, Exam 1

April 23:       3.5    4, 12,19
                    4.1   4,712,27
                    4.2   9,14,24

April 25:     Exam 1 (Chapters 1.5)
                   4.3    5,8,21,27
                   5.1    9,14,17                

          


Week 5      Chapter 5:Integers,  Chapter 6:  Fractions and Rational Numbers

April 30:         5.2    7,19,37
                      5.3    14,17,22
                      6.1    4,10,33,42

May 2:           6.2    3,13,18
                      6.3    4,21,25
                      6.4    12,24,35,32


Week 6          Chapter 7:  Decimals, Real Numbers and Proportional Reasoning

May 7:          7.1    7,19,28
                     7.2    11,13,23
                     7.3    1,14,18,36

May 9:          7.4    10,16,21,37
                     8.1    12,29,34
                     8.2    8,18,29


Week 7          Chapter 8:  Algebraic Reasoning, Graphing and Connections with Geometry,  Chapter 9:  Geometric Figures,   Chapter 10:  Measurement:  Length, Area, and Volume

May 14:         8.3    14,18,22,
                      9.1    17,23,36
                      9.2    1,8,26,37

May 16:         9.3    6,10,13,23
                      9.4    6,8,13
                      10.1  3,14,18,


Week 8           Chapter 10:  Measurement:  Length, Area, and Volume,  Chapter 11:  Transformations, Symmetries, and Tilings

May 21:         10.2    5,22,29
                      10.3    8,12,21,34
                      10.4    2,9,13

May 23:         10.5    4,20,32
                      11.1    6,15,22
                      11.2    9,13,23,30


Week 9           Chapter 11:  Transformations, Symmetries, and Tilings,  Chapter 12:  Congruence, Constructions, and Similarities

May 28:          Memorial Day Holiday

May 30:           11.3    2,16,22
                        12.1    3,13,32
                        12.2    7,16,25,45


Week 10      Exam 2,  Chapter 12:  Congruence, Constructions, and Similarities,  Chapter 13:  Statistics:  The Interpretation of Data

June 4:            Exam 2
                      12.3    2,17,31

June 6:            13.1    4,19,27         


Week 11         Chapter 13:  Statistics:  The Interpretation of Data,  Chapter 14:  Probability

June 11:         13.2    3,15,37,45
                     13.3    11,20,25

June 13:         14.1    2,8,18
                     14.2    5,13,21,34


Week 12

June 18:             ( 4:00 -5:50 PM):  Final Exam  (Comprehensive)


HOW TO SUCCEED IN A MATH CLASS

  •  Get to class early, get yourself settled, spend a few minutes looking at your notes from the previous class meeting, and have your materials ready when class starts.
  •  Read each section before it is discussed in class.
  •  Do some math every day.
  •  Spend about half of your study time working with your classmates.
  •  Start preparing for the exams at least a week in advance.
  • Submit your homework and quizzes at least 24 hours before it is due.  Computer problems always seem to occur at the worst times.
  • Come to the Math Success Center.
  • Get help from a tutor or from your instructor whenever you are confused.  Your instructor is there to help you pass.  With hard work, many hours on task, and persistence, you can achieve your goals.