Math 112
Math & Human Development II

1. Catalog Entry

MATH 112. Math and Human Development II
Three Lecture hours (3).

Covers a variety of topics in geometry and basic algebra. The content of this course adheres to the NCTM Standards and the Virginia Standards of Learning where they can appropriately be applied. Will not satisfy requirements for a major in mathematics. Students who have previously taken Math 109 may not receive credit for Math 112. General Education Credit - Mathematical Sciences.

2. Detailed Description of Course

Topics: The topics included in Math 112 are:

1. Geometry

• Lines and angles
• Polygons
• Constructions
• Solids
• Symmetry, translations, reflections
• Congruence and similarity
• Area and Volume

2. Algebra

• Formulas and Equations
• Cartesian graphs
• Solving Equations
• Sequences and Series
• Relations and Functions
• Linear functions

3.  Data Analysis and Probability

• Basic principles of probability
• Calculation methods
• Trees and tables
• Experimental probability
• Data collection
• Representation and interpretation of data
• Measures of central tendency
• Measures of dispersion and location

In addition, the following elements will be examined and applied in both Math 111 and Math 112:

1. Measurement

• Geometrical and Numerical magnitudes
• Relative position, ordinality
• Averdupois and metric systems

2. Problem Solving

• Principles of problem solving
• Applications in Numerical, Geometrical, and Algebraic topics

3. Reasoning and Proof

• Conjecture vs. proof
• Mathematical reasoning

4. Communications, Connections, Representations

• Mathematical communication with peers
• Evaluating mathematical thinking
• Using the language of mathematics
• Making connections among math topics
• Modelling

5. Technology

• Effective use of calculators
• Use of computer geometry and algebra systems
• Write equations in Word

3. Detailed Description of Conduct of Course

This course will be conducted as an exemplar of the teaching methods we wish the students to acquire. In addition to lecture/recitation this course will include cooperative/group learning and projects, Socratic (instructor-student) and group (student-student) dialogue, written responses to material, and diverse assessment instruments, including self-assessment. Course materials will include project material and assessment developed by math department faculty, in coordination with the School of Education.

4. Student Goals and Objectives of the Course

This course implements the Virginia standards and the NCTM standards for mathematics education. The primary goal is to prepare students for effective classroom teaching in the primary grades. Students should acquire a deep and multi-faceted understanding of the mathematical topics presented, and be able to communicate the mathematical ideas involved clearly. Students will examine and apply problem solving techniques appropriate to the primary grades, and recognize how to implement data analysis and probability both to student assessment and to self-assessment as a professional educator.

5. Assessment Measures

Students will be assessed on their content knowledge of the mathematical topics presented using traditional instruments, including a common multiple-choice final exam. In addition, students will be assessed on their in-class engagement (participation) and on their cooperative work with other students.

6. Other Course Information
7. Review and Approval Date