Sentences with phrase «on mathematical content»

The theory offers tools that teachers can use to focus on the mathematical content taught, students» understanding of it and how to enable possibilities for learning.

These include using literature that focuses on mathematical content to engage students, using mathemagic that links to the development of meaningful mathematics, games that have a clear purpose and specific mathematical content, investigations that focus on interesting problems or using mathematical trivia and making links between the mathematics students complete in the classroom and their everyday life.

But the harder and the more you work on mathematical content, the better you will get.

This was probably one of the reasons Whitehead made no reference to Principia Mathematica in his book on mathematical content for lay people.

Not exact matches

Here the more universal concept shows itself also the more rich in content; whoever has it can deduce from it all the mathematical relations which concern the special problems, while on the other hand, he takes these problems not as isolated but as in continuous connection with each other, thus in their deeper systematic connections.

His reasoning is based on quantum gravity, the information content of black holes, and especially on mathematician Kurt Gödel's 1931 theorem that any formal mathematical system contains some statement that can not be proved — it always remains somewhat incomplete.

It contained many of the elements believed to be associated with high quality PD, including a focus on specific content (rational numbers), and sought to improve instruction involving mathematical concepts, procedures, and problem solving.

Techniques include strategies such as: developing strong mathematical content knowledge and positive attitudes towards mathematics; encouraging their students to use critical thinking and active learning; placing more emphasis on understanding rather than rules and procedures; using concrete materials and technology; and providing support and encouragement for all students.

A written survey component of this study will build on a similar study conducted in 2005 — 06 (Hill, 2007), allowing for the comparison of teachers» curriculum use and content knowledge — and more specifically, their mathematical knowledge for teaching (MKT)-- across time periods.

Because we believe the online format is limited in its capacity to address teacher content knowledge, we will exclude teachers with very low mathematical knowledge for teaching, then randomly assign teachers to treatment and control conditions, stratifying on grade level.

The three principal elements of the Protocol stress that Mathematics is more than covering content, that if we design tasks well, everyone can be part of a rich mathematical experience, and that classrooms are learning environments focused on developing deep understanding.

The new maths GCSE places greater emphasis on mathematical reasoning, and includes new content to improve progression to the A level - on, for example, rates of change and quadratic functions.

This entailed offering math content sessions focused on topics such as improving the quality of student discourse in explaining mathematical reasoning.

With detailed teacher background material rich in science and mathematical content, descriptions of the pedagogical content knowledge needed to teach and assess effectively, and explicit links to the core ideas in the standards and research on learning science and mathematics, these books can transform teaching and learning in your classroom or professional development setting.

Hill and Ball's (2004) study, however, suggested that when teachers were (a) engaged in mathematical analysis, (b) explored alternative representations, and (c) communicated explanations and connected ideas with other teachers and PD facilitators, positive influences on teachers» content knowledge for teaching mathematics were found.

Hill, Ball and Brian Rowan find only modest links between measures of the mathematical knowledge that teachers need for teaching and their students» performance on standardized math tests, and the vaunted Measures of Effective Teaching project had to abandon its content knowledge for teaching measures, designed to assess some aspects of pedagogical content knowledge, as they were not associated with student achievement.

Insight in Action One MSP offered coursework to teacher leaders to build on the mathematical and scientific content knowledge they had developed through prior professional and classroom experiences.

The state - adopted student content standards, including content literacy and mathematical practices, for each subject identified on the temporary certificate.

FEATURES Access 468 activities for Grades K - 8 Hands - on activities that model concrete representations of abstract mathematical concepts Teacher support that provides in - depth discussions of mathematical content Easy - to - use resources that offer classroom - tested lesson plans targeting big ideas of math INCLUDES Access to a searchable library of 468 Super Source lessons Single - user license

FEATURES Access 468 activities for Grades K - 8 Hands - on activities that model concrete representations of abstract mathematical concepts Teacher support that provides in - depth discussions of mathematical content Easy - to - use resources that offer classroom - tested lesson plans targeting big ideas of math INCLUDES Access to a searchable library of 468 Super Source lessons Site license

BOOK Access 90 activities from the 5 Teacher Resource Books for Grades 7 - 8 Hands - on activities that model concrete representations of abstract mathematical concepts Teacher support that provides in - depth discussions of mathematical content Easy - to - use resources that offer classroom - tested lesson plans targeting big ideas of math INDEX Introduction of manipulatives and their uses by Marilyn Burns Organized by manipulative and strand Comprehensive scope and sequence aligns activities with any existing curriculum INCLUDES Activity Index 5 Super Source Books including — Number Geometry Measurement Patterns / Functions Probability / Statistics

FEATURES 18 Teacher guide activities that model concrete representations of abstract mathematical concepts Teacher support that provides in - depth discussions of mathematical content and critical thinking Easy - to - use resources that offer classroom — tested lesson plans targeting the big ideas of math 8 Math Cooperation Mats that allow students to work collaboratively on a task The mats provide a checklist of the problem - solving process Pattern Blocks classroom kit of manipulatives in a durable, easy - to - clean plastic tote PRODUCT PERKS Teacher Guide - Features 18 rich tasks that teach content and practice standards using the most common manipulatives.

Hands - On Standards Common Core Math Grade 4 Teacher Resource Guide integrates mathematical practice and content standards into engaging hands - on activitieOn Standards Common Core Math Grade 4 Teacher Resource Guide integrates mathematical practice and content standards into engaging hands - on activitieon activities.

Hands - On Standards Math Grade 4 Teacher Resource Guide integrates mathematical practice and content standards into engaging hands - on activitieOn Standards Math Grade 4 Teacher Resource Guide integrates mathematical practice and content standards into engaging hands - on activitieon activities.

The Hands - On Standards Common Core Math Kindergarten Teacher Resource Guide integrates mathematical practice and content standards for all domains into engaging hands - on activitieOn Standards Common Core Math Kindergarten Teacher Resource Guide integrates mathematical practice and content standards for all domains into engaging hands - on activitieon activities.

Hands - On Standards Math Kindergarten Teacher Resource Guide integrates mathematical practice and content standards for all domains into engaging hands - on activitieOn Standards Math Kindergarten Teacher Resource Guide integrates mathematical practice and content standards for all domains into engaging hands - on activitieon activities.

FEATURES 18 Teacher guide activities that model concrete representations of abstract mathematical concepts Teacher support that provides in - depth discussions of mathematical content and critical thinking Easy - to - use resources that offer classroom — tested lesson plans targeting the big ideas of math 8 Math Cooperation Mats that allow students to work collaboratively on a task The mats provide a checklist of the problem - solving process Base Ten Blocks classroom kit of manipulatives in a durable, easy - to - clean plastic tote PRODUCT PERKS Teacher Guide - Features 18 rich tasks that teach content and practice standards using the most common manipulatives.

Rather, perhaps the best place for this sort of technology is with teacher educators or professional developers working with preservice and in - service teachers, perhaps in a mathematics teaching methods or content course or in a professional development course focused on noticing student's mathematical thinking.

Work on the Jasper project with students has been successful in «measures of mathematical self - efficacy, academic interest in, and value for mathematical content and problem solving,» including higher standardized achievement scores (Nicaise, 1997, p. 453).

Analysis of the professional development sessions revealed the need for more professional development focused on enhancing teachers» ability to connect mathematical ideas using technology and on their pedagogical and content skills to work with multiple representations of mathematical ideas.

The academy operates on the theory of multiple intelligences, which states children learn content through eight intelligences, such as linguistic and mathematical abilities.

An NCTM (2008) statement on the role of technology in mathematics education asserted that «with guidance from effective mathematics teachers, students at different levels can use [technology] to support and extend mathematical reasoning and sense making, gain access to mathematical content and problem - solving contexts, and enhance computational fluency» (para. 1).

In particular, we will focus on how to design and enact instruction that elicits and builds on children's thinking in all content domains as well as how to use curriculum materials, family and community - based resources, and other supports to help facilitate mathematical practice development in children.

In particular, teachers will expand their own content knowledge, learn to elicit and build on children's multiple mathematical knowledge bases, and develop a practice of using high - demand tasks in order to enact Standards - based instruction in algebra and geometry.

Features 18 Teacher guide activities that model concrete representations of abstract mathematical concepts Teacher support that provides in - depth discussions of mathematical content and critical thinking Easy - to - use resources that offer classroom — tested lesson plans targeting the big ideas of math 8 Math Cooperation Mats that allow students to work collaboratively on a task The mats provide a checklist of the problem - solving process Base Ten Blocks classroom kit of manipulatives in a durable, easy - to - clean plastic tote Includes Teacher resource book Corresponding manipulative kit Math cooperation mat

This leads you to the point that something like Chess, which is mathematical (topological) at base, is easier to transpose between settings than a game that depends on contextual content.

These maps rely on mathematical models that process raw data on the amounts of microwave radiation that reach a variety of satellite sensors from cloud ice content and the land and ocean surfaces below.

Latie thinks that a couple of blurbs on a blog comment free of mathematical content trumps a textbook or a research article.

The results demonstrate that early childhood teachers have high perceptions about mathematical knowledge for teaching being especially high on the knowledge of teaching and lowest on content knowledge.