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James, Carolyn; Casas, Ana; Grant, Douglas – Mathematics Teaching in the Middle School, 2016
Open-ended mathematical tasks provide great opportunities for students to engage in authentic mathematical practices, such as conjecturing, generalizing, and justifying. Supporting students in open-ended tasks can be challenging. Appropriate scaffolding of a task has been linked to more opportunities for student learning and better student…
Descriptors: Scaffolding (Teaching Technique), Mathematics Activities, Mathematical Logic, Middle School Students
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Haberern, Colleen – Mathematics Teaching in the Middle School, 2016
With the adoption of the Common Core State Standards for Mathematics (CCSSM), many teachers are changing their classroom structure from teacher-directed to student-centered. When the author began designing and using problem-based tasks she saw a drastic improvement in student engagement and problem-solving skills. The author describes the Cake…
Descriptors: Common Core State Standards, Problem Based Learning, Instructional Innovation, Instructional Effectiveness
National Council of Teachers of Mathematics, 2015
Do your students think a triangle can be constructed from any three given line segments? Do they believe that a transformation affects only the pre-image--not the whole plane? Do they understand that examples--no matter how many they find--cannot prove a conjecture but one counterexample is sufficient to disprove it? "What tasks can you…
Descriptors: Geometry, Educational Practices, Secondary School Mathematics, Pedagogical Content Knowledge
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Trocki, Aaron – Mathematics Teacher, 2014
The advent of dynamic geometry software has changed the way students draw, construct, and measure by using virtual tools instead of or along with physical tools. Use of technology in general and of dynamic geometry in particular has gained traction in mathematics education, as evidenced in the Common Core State Standards for Mathematics (CCSSI…
Descriptors: Secondary School Mathematics, High School Students, Geometry, Technology Uses in Education
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DeJarnette, Anna F.; Rosado Lausell, Sahid L.; González, Gloriana – Mathematics Teacher, 2015
How can geometry teachers design great tasks that allow students to make connections among interrelated concepts and expand their geometric reasoning skills? Many curricular materials provide problems for students to apply a single geometric concept. However, these problems do not always promote reasoning opportunities for students, because…
Descriptors: Geometry, Geometric Concepts, Task Analysis, Mathematics Activities
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Jordon, Thelma; And Others – 1986
The mathematics curriculum provides a framework of instruction for exceptional child education in grades K-12. Content areas include: numeration, whole numbers, rational numbers, real/complex numbers, calculator literacy, measurement, geometry, statistics, functions/relations, computer literacy, and pre-algebra. The guide is organized by content…
Descriptors: Behavioral Objectives, Calculators, Computer Literacy, Disabilities