Issues and Problems
Accountability for standards
in Mathematics
"Technology is essential in teaching and learning mathematics... The existence, versitilty, and power of technology make it possible and neccessary to reexamine what mathematics students should learn as well as how they can best learn it" (NCTM)
"Principles and standards for school Mathematics" were released in 2000 by the National Concil of Teachers of Mathematics (NCTM). Six principles, 5 content standards, and 5 process standards.
Equity
Curriculum
Teaching
Learning
Assessment
Technology
Numbers and Operations
Algebra, Geometry
Measurement
Data Analysis
Probability
Problem Solving
Reasoning and Proof
Communication
Connections
Representations
Challenges in implementing the principles and standards for school mathematics
Technology can serve as a catalyst in helping teachers move toward an instructional style of teaching which is student centered.
Technology provides students with the opportunity to visualize and make more concrete the generally abstract world of matematics.
Three implications in selection of technology for teachers.
1. Appropriate combination of on & off computer activities
2. Technology should be considered a math tool and not a pedagogical tool
3. Technology should be used as a tool to develop student thinking
Directed vs. Constructivist teaching strategies: Ongoing "Math wars"
"Math wars" remain unsolved
Conflict between teacher-directed and constructivist learning
Technology is available to support both methods
Recent research points to students learning Math better using constructivist approach. (Kinach)