The debate between directed and constructivist teaching strategies in mathematics, known as the 'Math wars,' continues to be unresolved. Recent studies suggest that students may benefit more from a constructivist approach, which emphasizes active learning and discovery.
Directed vs. Constructivist teaching strategies: Ongoing "Math wars"
Recent research points to students learning Math better using constructivist approach. (Kinach)
Conflict between teacher-directed and constructivist learning
Technology is available to support both methods
"Math wars" remain unsolved
Challenges in implementing the principles and standards for school mathematics
Three implications in selection of technology for teachers.
3. Technology should be used as a tool to develop student thinking
2. Technology should be considered a math tool and not a pedagogical tool
1. Appropriate combination of on & off computer activities
Technology provides students with the opportunity to visualize and make more concrete the generally abstract world of matematics.
Technology can serve as a catalyst in helping teachers move toward an instructional style of teaching which is student centered.
Accountability for standards
in Mathematics
"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.
Problem Solving
Reasoning and Proof
Communication
Connections
Representations
Numbers and Operations
Algebra, Geometry
Measurement
Data Analysis
Probability
Equity
Curriculum
Teaching
Learning
Assessment
Technology
"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)
