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7 produkter
7 produkter
239 kr
Skickas inom 11-20 vardagar
Do your students think that the vertical line test is indispensable and foolproof for determining whether a relationship is a function? Do they believe that every function can be modeled by an equation? Do they interpret the graph of a function as the function itself?What tasks can you offer - what questions can you ask - to determine what they know or don’t know - and move them forward in their thinking?This book focuses on the specialized pedagogical content knowledge that you need to teach functions effectively in grades 9–12. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with functions - not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts.Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of functions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.You have essential understanding. It’s time to put it into practice in your teaching.The Putting Essential Understanding into Practice Series moves NCTM’s Essential Understanding Series into the classroom. The new series details and explores best practices for teaching the essential ideas that students must grasp about fundamental topics in mathematics - topics that are challenging to learn and teach but are critical to the development of mathematical understanding. Classroom vignettes and samples of student work bring each topic to life, and questions for reader reflection open it up for hands-on exploration. Each volume underscores connections with the Common Core State Standards for Mathematics while highlighting the knowledge of learners, curriculum, instructional strategies, and assessment that pedagogical content knowledge entails. Resources and tasks are available at nctm.org/more4U.Maximize the potential of student-centered learning and teaching by putting essential understanding into practice.
Putting Essential Understanding of Multiplication and Division Into Practice in Grades 3-5
Häftad, Engelska, 2013
217 kr
Skickas inom 7-10 vardagar
Do your students believe that division "doesn't make sense" if the divisor is greater than the dividend?Explore rich, researched-based strategies and tasks that show how students are reasoning about and making sense of mulitplication and division. This book focuses on the specialised pedagogical content knowledge that you need to teach multiplication and division effectively in grades 3-5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with these computations - not only in their current work, but also in higher-level maths and a myriad of real-world contexts.Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of multiplication and division. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.About the Series:You have essential understanding. It’s time to put it into practise in your teaching.The Putting Essential Understanding into Practice Series moves NCTM’s Essential Understanding Series into the classroom. The new series details and explores best practises for teaching the essential ideas that students must grasp about fundamental topics in mathematics - topics that are challenging to learn and teach but are critical to the development of mathematical understanding.Classroom vignettes and samples of student work bring each topic to life and questions for reader reflection open it up for hands-on exploration. Each volume underscores connections with the Common Core State Standards for Mathematics while highlighting the knowledge of learners, curriculum, understanding into practise, instructional strategies and assessment that pedagogical content knowledge entails.Maximise the potential of student-centred learning and teaching by putting essential understanding into practise.
Putting Essential Understanding of Geometry and Measurement Into Practice in Grades Pre-K-2
Häftad, Engelska, 2017
233 kr
Skickas inom 11-20 vardagar
Do your students recognize a square if the base is oriented horizontally but call it a “diamond” if it is turned 45 degrees? Do they claim that a shape is a triangle because it “looks like” one? Do they say that one object is “bigger” than another without attending more precisely to the attribute they are comparing? What tasks can you offer—what questions can you ask—to determine what they know or don’t know—and move them forward in their thinking?This book focuses on the specialized pedagogical content knowledge that you need to teach geometry and measurement effectively in prekindergarten to grade 2. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with these concepts—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of fractions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.You have essential understanding. It’s time to put it into practice in your teaching.The Putting Essential Understanding into Practice Series moves NCTM’s Essential Understanding Series into the classroom. The new series details and explores best practices for teaching the essential ideas that students must grasp about fundamental topics in mathematics—topics that are challenging to learn and teach but are critical to the development of mathematical understanding.Classroom vignettes and samples of student work bring each topic to life, and questions for reader reflection open it up for hands-on exploration. Each volume underscores connections with the Common Core State Standards for Mathematics while highlighting the knowledge of learners, curriculum, instructional strategies, and assessment that pedagogical content knowledge entails. Resources and tasks are available at More4U. Maximize the potential of student-centered learning and teaching by putting essential understanding into practice.
225 kr
Skickas inom 11-20 vardagar
Do your students suppose that if the perimeter of a shape increases, the area also increases? Do they think that area is the product of base and height, without understanding that this applies only to parallelograms? Do they believe that a transformation happens only on or to a particular object and not the entire plane?What tasks can you offer—what questions can you ask—to determine what they know or don’t know—and move them forward in their thinking?This book focuses on the specialized pedagogical content knowledge that you need to teach geometry effectively in grades 6–8. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with geometry—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of geometry. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.
530 kr
Skickas inom 11-20 vardagar
This book, the eleventh in the Putting Essential Understanding into Practice Series, focuses on misconceptions about variables, expressions, equations, and functions that students often bring to grades 6–8. The authors present tasks given to middle-grades students and examine sample responses to them to show how teachers can bring misconceptions to the surface, where they and their students can inspect them, recognize errors and limitations, and replace faulty thinking with robust ideas.
233 kr
Skickas inom 11-20 vardagar
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 offer—what questions can you ask—to determine what they know or don’t know—and move them forward in their thinkingThis book focuses on the specialized pedagogical content knowledge that you need to teach geometry effectively in grades 9–12. The authors demonstrate how to use this multifaceted knowledge to dispel students’ misconceptions and replace them with the steadily developing understanding that students need for success with geometry—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts.Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of diagrams and definitions, transformations, and proof. Use the opportunities that these and similar tasks provide to build on their understanding and guide them in taking the next steps in learning.Putting Essential Understanding of Geometry into Practice in Grades 9–12 is the seventh title in NCTM’s highly useful and very readable Putting Essential Understanding into Practice Series, edited by Barbara J. Dougherty. Each volume in the series builds on the companion volume in the earlier Essential Understanding Series to show teachers how to implement their understanding of mathematics in the classroom.
233 kr
Skickas inom 11-20 vardagar
Do your students think that a sample, regardless of size, always has the same characteristics as the population from which it is drawn? Do they know the difference between the distribution of a sample and the sampling distribution of a statistic?What tasks can you offer, and what questions can you ask, to determine what your students know or don’t know—and move them forward in their thinking?This book focuses on the specialized pedagogical content knowledge that you need to teach statistics effectively in grades 9–12. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with statistics—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts.Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of statistics. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.