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Student Learning Goals

Major student learning goals/objectives for Mathematics Majors/Minors, Secondary

Education Mathematics Majors/Minors, and Applied Mathematics Majors/Minors

Goal #1: Mathematical Reasoning

Objectives: Students should be able to perform complex tasks, to discern patterns, to apply intellectually demanding and rigorous mathematical reasoning to formulate organized and cogent mathematical arguments.

Goal #2: Understanding the Breadth of Mathematics

Objectives: Students should possess an understanding of the breadth of mathematics and its interconnecting principles. Students should understand the interplay among applications, problem-solving, and theory. Students should be able to appreciate the different areas of mathematics and understand the relevance of mathematics to other disciplines. Students should be aware of the historical and contemporary context in which mathematics is practiced.

Goal #3: Mathematical Modeling

Objectives: Students should be able to apply their mathematical knowledge to a broad spectrum of complex problems. They should be able to solve multi-step problems and utilize current technology in so doing. Students should be aware of the process by which mathematical principles are applied to serve society.

Goal #4: Communicating Mathematics

Objectives: Students should be able to read, write, and speak mathematically. They should be able to work effectively in a group setting. They should have library and research skills sufficient to locate, analyze, synthesize, and evaluate information relating to their area.

Major student learning goals for Elementary Education Mathematics Minors:

(These learning goals are adapted from requirements of the Michigan Department of Education for certification of elementary teachers and elementary teachers with a minor in mathematics.)

Goal #1 Problem Solving

  • Students exhibit mature problem solving abilities.
  • Students recognize and use patterns, quantities, and spatial relationships that can represent phenomena, solve problems, and manage data.

Goal #2 Reasoning

  • Students make and evaluate mathematical conjectures and arguments and validate their own mathematical thinking.

Goal #3 Communication

  • Students use both oral and written discourse to develop and extend mathematical understanding.

Goal #4 Connections

  • Students demonstrate an understanding of mathematical relationships across disciplines and connections within mathematics.

Goal #5 Mathematical Content

  • Students know, understand and apply concepts, procedures, and reasoning in mathematics that define number systems and number sense, geometry, measurement, statistics and probability, and algebra.

Accreditation/Certifying Body: The Department of Mathematical Sciences’ program for Secondary Teacher Certification (major and minor) and minor for Elementary Education follow NCATE/NCTM guidelines as well as requirements of the State of Michigan Department of Education. Other courses, such as the Calculus sequence, conform to ABET(Accreditation Board for Engineering & Technology) specifications.

Professional Organizations/Standards that informed development of learning outcomes:

Major and Minor programs of the Department of Mathematical Sciences follow guidelines developed by CUPM (Committee on the Undergraduate Program in Mathematics) of the Mathematical Association of America and guidelines of CBMS (Conference Board of the Mathematical Sciences) of the American Mathematical Society in cooperation with the Mathematical Association of America.