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Elementary Methods: Mathematics




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Course level: Undergraduate

This course focuses on methodology and assessment strategies that enhance learning in mathematics. Integration of content and instructional strategies, as well as curriculum and assessment issues, are emphasized. Multiple perspectives of students as learners of mathematics, along with current research on mathematics pedagogy, are explored. Students evaluate and use instructional methods, curricular materials and resources, and appropriate assessment strategies. Special attention is given to the use of manipulatives in math instruction and to developing students' problem-solving skills. This course is not available for enrollment to residents of Arkansas, California, Connecticut, Iowa, Idaho, Kentucky, Massachusetts, Michigan, Nebraska, New York, Ohio, Texas, Wisconsin, Wyoming and individuals who reside outside the United States.



What you'll learn

Course skills and outcomes

Week 1

  • Explore various theories and models of mathematics instruction.
  • Identify current research in teaching and learning mathematics.
  • Describe the National Council of Teachers of Mathematics (NCTM) principles for school mathematics.
  • Identify the NCTM content standards.
  • Explain the NCTM process standards.
  • Compare and contrast state standards for mathematics instruction and the NCTM standards.
  • Identify the major concepts in number and operations.
  • Examine strategies to teach numbers, ways of representing numbers, relationships among numbers, and number systems.
  • Recognize strategies to teach meanings of operations and how they relate to one another.
  • Develop strategies to teach mathematical understandings and skills with number systems and operations.

Week 2

  • Investigate the scope and sequence of mathematics for grades K–8.
  • Examine how a scope and sequence is used for long-term curriculum planning.
  • Explore professional mathematics organizations and their resources.
  • Explore technology-based and print resources.
  • Identify ways to use the community and parents as resources.
  • Review the components of an effective lesson plan.
  • Incorporate manipulatives and technology in lesson plan activities.
  • Develop a math lesson plan.
  • Compare and contrast different approaches to lesson plan design.
  • Explain the role of standards in planning and instruction in Mathematics.
  • Incorporate manipulatives and technology in lesson plan activities.
  • Identify examples of algebraic thinking in the elementary curriculum.
  • Develop strategies to teach problem solving.
  • Explore patterns, relations, and functions as they relate to number sense.

Week 3

  • Examine models for integration of cross-content curricula.
  • Investigate integration within mathematical concepts.
  • Plan lessons and a unit that address appropriate learning goals.
  • Address local, state, and national standards in a mathematical unit.
  • Implement a scope and sequence into planning mathematics instruction.
  • Integrate mathematics into other curricula where appropriate.
  • Utilize appropriate resources for development of a mathematical unit.
  • Define data analysis and probability.
  • Recognize instructional strategies to create data sets or collect, organize, and display relevant data.
  • Explore instructional strategies to select and use appropriate statistical methods and analyze data.
  • Analyze instructional strategies to develop and evaluate inferences and predictions that are based on data.
  • Analyze instructional strategies to understand and apply basic concepts of probability.

Week 4

  • Examine current trends and issues regarding differentiating math instruction and assessment.
  • Analyze instructional strategies used to adapt and modify learning activities.
  • Analyze strategies to adjust and modify the use of materials and equipment for diverse learners.
  • Compare assessment strategies including traditional and authentic assessment.
  • Compare and contrast the uses of formative and summative assessment.
  • Evaluate the characteristics of effective mathematics assessment.
  • Construct open-ended assessments.
  • Identify the major concepts in geometry.
  • Explore strategies to teach the characteristics and properties of two- or three-dimensional shapes.
  • Explore strategies to teach representations of two- and three-dimensional objects using concrete models, drawings, and dynamic geometry software.
  • Explore strategies to teach spatial relationships using coordinate geometry.
  • Explore strategies to teach transformations, symmetry, congruence, and similarity.

Week 5

  • Examine strategies used in managing a positive mathematics classroom environment.
  • Recommend motivational and communication techniques useful to the mathematics classroom.
  • Identify the major concepts in measurement.
  • Explore strategies to teach measurement units, techniques, and tools.
  • Explore strategies to teach measurable attributes of objects and the units, systems, and processes of measurement.
  • Explore strategies to teach estimation.


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We’ve been accredited by the Higher Learning Commission ( for more than 40 years.

Real-world instructors

Learn from instructors who bring an average of 25 years of working experience to the classroom.

Affordable and potentially reimbursable

Our tuition and fees are competitive and fixed. Also, check to see if your employer will cover you for this course.

Next Steps

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