Hiebert & Grouws (2007)

The Effects of Classroom Mathematics Teaching on Students' Learning

• Authors: James Hiebert and Douglas A. Grouws
• Book: Second Handbook of Research on Mathematics Teaching and Learning
• Year: 2007
• Source: http://www.infoagepub.com/products/Second-Handbook-Research-Mathematics-Teaching-Learning

Outline of Headings

• Teaching Matters...But How Is Not Easy to Document
  • A Claim That Appears Obvious is Strikingly Difficult to Specify
  • Useful Theories of Teaching Are in Short Supply
    • Challenge 1: Different Teaching Methods Might Be Effective for Different Learning Goals
    • Challenge 2: Teaching is a System of Interacting Features
    • Challenge 3: The Influence of Mediating Variables
  • Documenting the Effects of Teaching on Learning is Methodologically Difficult
    • Accounting for Relevant Factors
    • Creating Appropriate Measures
  • Teaching Often Gets Interpreted as Teachers
  • Despite the Difficulties, Research-Based Claims Are Emerging
• Opportunity to Learn: Still the Key Enabling Condition
• Two Patterns: Teaching for Skill Efficiency and Teaching for Conceptual Understanding
  • Becoming Efficient in Executing Skills
  • Developing Conceptual Understanding
  • Teaching That Promotes Conceptual Development: Two Key Features
    • Feature 1: Teachers and Students Attend Explicitly to Concepts
    • Feature 2: Students Struggle with Important Mathematics
    • Teaching Features that Promote Conceptual Understanding also Promote Skill Fluency
    • Summary
  • Absence of Features That Support Conceptual Development from U.S. Mathematics Teaching
• Future Directions for Research That Connects Teaching and Learning
  • Be Explicit About Learning Goals
  • Build and Use Theories
  • Set Realistic Expectations for What a Knowledge Base Can Do
  • Account for the Costs and Benefits of Different Research Approaches
  • Comparing the Effects of Different Instructional Methods
  • Correlating Features of Teaching with Students' Learning
  • Balancing the Benefits of Small-Scale Qualitative Studies and Large-Scale Quantitative Studies
• Final Thoughts

Corrolary

APA

Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students' learning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 371–404). Charlotte, NC: Information Age.

BibTeX

@incollection{Hiebert2007,
address = {Charlotte, NC},
author = {Hiebert, James and Grouws, Douglas A.},
booktitle = {Second handbook of research on mathematics teaching and learning},
chapter = {9},
editor = {Lester, Frank K.},
pages = {371--404},
publisher = {Information Age},
title = {{The effects of classroom mathematics teaching on students' learning}},
year = {2007}
}