# Hiebert & Grouws (2007)

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*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} }