eed416 | undergraduate
Elementary Methods: Mathematics
This undergraduate-level course is 5 weeks This course is available as part of a degree or certificate program. To enroll, speak with an Enrollment Representative.
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NCTM Principles and Standards
- 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.
NCTM Number and Operations Standard
- 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.
Assessment of Mathematics
- Evaluate the characteristics of effective mathematics assessment.
- Compare assessment strategies including traditional and authentic assessment.
- Compare and contrast the uses of formative and summative assessment.
- Construct open-ended assessments.
Managing the Mathematics Classroom
- Recommend motivational and communication techniques useful to the mathematics classroom.
- Examine strategies used in managing a positive mathematics classroom environment.
Developing a Math Lesson Plan
- Compare and contrast different approaches to lesson plan design.
- Incorporate manipulatives and technology in lesson plan activities.
- Review the components of an effective lesson plan.
- Develop a math lesson plan.
- Incorporate technology into mathematics lesson plan activities.
- Explain the role of standards in planning and instruction in Mathematics.
Designing a Mathematical Unit
- 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.
Scope and Sequence of Mathematics
- Investigate the scope and sequence of mathematics for grades K–8.
- Examine how a scope and sequence is used for long-term curriculum planning.
Resources for Teaching Mathematics
- Explore professional mathematics organizations and their resources.
- Explore technology-based and print resources.
- Identify ways to use the community and parents as resources.
NCTM Geometry Standard
- 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.
NCTM Algebra Standard
- 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.
Integration of Mathematics into Curricula
- Examine models for integration of cross-content curricula.
- Investigate integration within mathematical concepts.
Developmental Levels of Mathematical Thinking
- Explore various theories and models of mathematics instruction.
- Identify current research in teaching and learning mathematics.
NCTM Data Analysis and Probability Standard
- Define data analysis and probability.
- Recognize instructional strategies to create data sets or collect, organize, and display relevant 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.
- Explore instructional strategies to select and use appropriate statistical methods and analyze data.
Differentiating Instruction for Diverse Learners
- 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.
NCTM Measurement Standard
- 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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