The Syllabus is similar to the syllabus for a course. It is your primary reference for information regarding the module. The online capability of the module allows you to access information directly from Levels II and III of the module, but selected elements of those levels also appear in the syllabus to give you a single source for key information. You may find it helpful to have a hard copy of the syllabus available for reference.

There are six major goals for this module.

1. Present current knowledge in how students learn math.



2. Discuss challenges students face while learning math.



3. Describe research-based practices that address the needs of diverse learners.



4. Illustrate ways in which technology may be integrated with instructional practices.



5. Describe promising practices in technology-based instruction.



6. Provide tips for teachers that facilitate integration of technology with research-based practices.

The Content Outlines are specific to lessons in this module. The Content Outlines are specific to lessons in this module. They allow you to preview the content to be covered in each lesson and to note how the content for the several lessons combines at the module level to meet the goals for the module. You will also find that the Content Outlines will serve as a useful review feature. Later when you have completed the module and wish to review what was covered in the individual lessons you can return to the Content Outlines.

1. Math Content
   1. Introduction
      1. Math skills in 2000
      2. Significance of content skills
      
      
   2. Math Standards
      1. Areas of math instruction
      2. NCTM content standards
      
      
   3. Cognitive Development of Math Skills
      1. Cognitive development
      2. Theories of developmental underpinning math
         1. Piagetian
         2. Constructivist
         3. Behaviorist
         4. Others
      3. Informal versus formal learning of math
      4. Challenges in math acquisition
      
      
   4. Research-to-Practice Math Instruction
      1. Direct Instruction
         1. Theory & method base
         2. Instructional method
         3. Research findings
         4. Technology in Direct Instruction
         5. Tips for teachers
      2. Curriculum-Based Measurement
         1. Theory & method base
         2. Research findings
         3. Technology in Curriculum-Based Measurement
         4. Tips for teachers
      3. University of Chicago School Math Series
         1. Theory & method base
         2. Research findings
         3. Computer & graphic calculator technology
         4. Teacher resources from NSF National Implementation Centers
      4. Computer Intensive Instruction
         1. Computer-Intensive Algebra
         2. Research findings
         3. Hypermedia
         4. Tips for teachers
      
      
   5. Conclusions
   
   
2. Math Processes
   1. Introduction
      1. Math processes and math content
      2. Lesson overview
      
      
   2. Math Processes
      1. NCTM math process standards
      2. Math processing as structural manipulation
      3. Math processing and higher order thinking
      4. Factors of problem solving
      
      
   3. Development of Problem Solving Skills
      1. Conceptual frameworks
         1. Between-Concept Systems approach
         2. Modeling Mechanisms approach
      2. Challenges in developing problem solving skills
      
      
   4. Problem Types and Skill Development
      1. Open-ended vs. closed-ended problems
      2. Research findings
      
      
   5. Multimedia Problem Solving
      1. Multimedia options
      2. Problem solving with hypermedia
      3. Hypermedia software
      4. Tips for teachers
      
      
   6. Strategy Instruction
      1. Fundamental assumptions
      2. Strategy instruction approaches
         1. Self-instructional strategies
         2. Mediated/assisted strategies
         3. Direct instruction strategies
      3. Research findings
      4. Technology in strategy instruction
      5. Tips for teachers
      
      
   7. Programming and Problem Solving
      1. Logo programming
      2. Research findings
      3. Tips for teachers
      
      
   8. Conclusion
   
   
3. Math Application
   1. Daily Life Math
      1. The role of math in daily life
      2. The SCANS Report
      3. Lesson overview
      
      
   2. Application of Math Knowledge
      1. Building essential skills
      2. Life Centered Career Education Competencies
      
      
   3. Cognitive Development Issues
      1. Tenets of traditional instruction
      2. The school-daily life skills divide
      3. Constructivist theory
      4. Metacognition theory
      
      
   4. Anchored Instruction
      1. Theoretical foundation
      2. Instructional goals
      3. Research findings
      4. Tips for teachers
      
      
   5. Videodiscs
      1. Using videodiscs for anchored instruction
      2. "Adventures of Jasper Woodbury"
      3. Research findings
      4. Tips for teachers
      
      
   6. Simulations
      1. Expanding the learning context
      2. Research findings
      3. Tips for teachers
      4. Crafting simulations
      
      
   7. Math Learning Communities
      1. Communicating math
      2. Research findings
      3. Technology driven communities
      4. Tips for teachers
      
      
   8. Conclusion