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Keith R. Leatham, Blake E. Peterson, Shari L. Stockero, and Laura R. Van Zoest

The mathematics education community values using student thinking to develop mathematical concepts, but the nuances of this practice are not clearly understood. We conceptualize an important group of instances in classroom lessons that occur at the intersection of student thinking, significant mathematics, and pedagogical opportunities—what we call Mathematically Significant Pedagogical Opportunities to Build on Student Thinking. We analyze dialogue to illustrate a process for determining whether a classroom instance offers such an opportunity and to demonstrate the usefulness of the construct in examining classroom discourse. This construct contributes to research and professional development related to teachers' mathematically productive use of student thinking by providing a lens and generating a common language for recognizing and agreeing on a critical core of student mathematical thinking that researchers can attend to as they study classroom practice and that teachers can aspire to notice and build upon when it occurs in their classrooms.

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Christine B. Redford

Spark the next generation's natural inquisitiveness, put the Process Standards into action, and capitalize on teachable moments to foster conceptual understanding.

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Elizabeth P. Cunningham

use times and materials not obviously considered to be mathematical to engage children in mathematical thinking. INTRODUCTION Teachable moments are often thought of as serendipitous moments when children’s ideas become visible and a teacher is

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Kwaku Adu-Gyamfi, Michael. J. Bossé, Ronald Preston, and Derek A. Williams

results, they naturally discuss which answers and techniques are appropriate and what criteria determine their appropriateness. This can lead to teachable moments regarding the nature and purpose of simplification and the context of the investigation in

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Sandra M. Linder and Amanda Bennett

Model: Creating Teachable Moments . Arlington, VA : National Science Teachers Association Press . Barton , Byron . 1990 . Building a House . New York : HarperCollins . Carle , Eric . 1969 . The Very Hungry Caterpillar

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Blake Peterson

of this task. Blake Peterson, peterson@mathed.byu.edu , is a mathematics education professor at Brigham Young University in Provo, Utah. He and his colleagues are currently studying how to identify and productively build on teachable

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Douglas H. Clements, Shannon S. Guss, and Julie Sarama

mathematics, we can notice and create teachable moments throughout the day. Further, hundreds of intentional activities are provided in [LT] 2 , fine-tuned to each level of thinking you wish to help your children develop. A Journey through One LT

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Christopher C. Jett, Cathery Yeh, and Maria del Rosario Zavala

, A. , Todd , L. , & Parker , L. ( 2016 ). The utility of “the space traders" and its variations as CRT teachable moments . In G. Ladson-Billings & W. F. Tate (Eds.), “Covenant keeper": Derrick Bell’s enduring education legacy (pp. 57