The author of this article uses four NRICH investigations to illustrate how a teacher might extend the results of students' work as a springboard for developing deeper mathematical understanding. He models good prompting, e.g., "Tell me what you notice about the result" and "I wonder what would happen if ...", and warns against trying to lead students' thinking. [The problems discussed are cataloged separately.]
(1 Comments)

Contributed by: Millennium Mathematics Project - Publisher, Bernard Bagnall - Author

This resource is included in the following PD Collection(s):

**CCSS Practice Standard 7**This collection supports teachers as they integrate Practice Standard 7 into their classroom routines. In these articles and videos, teachers will see strategies that help guide students to look for and make use of structure as they discover and understand mathematical concepts. Additional resources for immediate use in the classroom can be found in a companion classroom collection.

**CCSS Practice Standard 8**The resources in this collection are intended to help educators understand and implement the eighth Mathematical Practice Standard of the CCSS. You will find informative presentations, lesson plans, and problem sets that will help establish mathematical habits of mind that support this standard. You'll also find many problem tasks for use with students in the companion classroom collection.

Math TopicDiscrete Mathematics, Number Sense, Algebraic Thinking, Mathematical Practices, Mathematical Processes

Grade Level1, 2, 3, 4, 5, 6+

Resource TypeInstructional Strategy, Reference Materials, Article

**Additional Information**- AudienceEducator
- LanguageEnglish (United Kingdom)
- Education TopicTeaching strategies
- Interdisciplinary Connection
- Professional DevelopmentYes
- ContributorMillennium Mathematics Project - Publisher, Bernard Bagnall - Author
- Publication Date2007-06
- RightsCopyright (c) 2007 University of Cambridge

http://nrich.maths.org/public/terms.php - AccessFree access

**Standards**### Common Core State Standards for Mathematics

**Related Resources****User Comments****A mathematical approach**

By Uncle Bob on 03/03/2013 - 10:34- Good examples that would help a teacher develop mathematical thinking in students. One good Q/A should lead to at least two more good Q. Developing the "what do you notice" habit is worth the time.