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Put math manipulatives to work in your classroom and make teaching
and learning math both meaningful and productive. Would you like to
bring math learning to life and make it more concrete, relevant,
and accessible to your students? Do you wish you could do more with
the manipulatives buried in your supply closet? Do you want to more
effectively use virtual manipulatives in your distance learning?
Whether physical or virtual, commercial or home-made, manipulatives
are a powerful learning tool to help students discover and
represent mathematical concepts. Mastering Math Manipulatives
includes everything you need to integrate math manipulatives-both
concrete and virtual-into math learning. Each chapter of this
richly illustrated, easy-to-use guide focuses on a different
powerful tool, such as base ten blocks, fraction manipulatives,
unit squares and cubes, Cuisenaire Rods, Algebra tiles and
two-color counters, geometric strips and solids, geoboards, and
others, and includes a set of activities that demonstrate the many
ways teachers can leverage manipulatives to model and reinforce
math concepts for all learners. It features: Classroom strategies
for introducing math manipulatives, including commercial, virtual,
and hand-made manipulatives, into formal math instruction.
Step-by-step instructions for over 70 activities that work with any
curriculum, including four-color photos, printable work mats, and
demonstration videos. Handy charts that sort activities by
manipulative type, math topic, domains aligned with standards, and
grade-level appropriateness. It's time to dive in and join in the
journey toward making manipulatives meaningful so math learning is
concrete, profound, and effective for your students!
Put math manipulatives to work in your classroom and make teaching
and learning math both meaningful and productive. Would you like to
bring math learning to life and make it more concrete, relevant,
and accessible to your students? Do you wish you could do more with
the manipulatives buried in your supply closet? Do you want to more
effectively use virtual manipulatives in your distance learning?
Whether physical or virtual, commercial or home-made, manipulatives
are a powerful learning tool to help students discover and
represent mathematical concepts. Mastering Math Manipulatives
includes everything you need to integrate math manipulatives-both
concrete and virtual-into math learning. Each chapter of this
richly illustrated, easy-to-use guide focuses on a different
powerful tool, such as two-color counters, linking cubes, base ten
blocks, fraction manipulatives, pattern blocks, tangrams, geometric
solids, and others, and includes a set of activities that
demonstrate the many ways teachers can leverage manipulatives to
model and reinforce math concepts for all learners. It features:
Classroom strategies for introducing math manipulatives, including
commercial, virtual, and hand-made manipulatives, into formal math
instruction. Step-by-step instructions for 75 activities that work
with any curriculum, including four-color photos, printable work
mats, and demonstration videos. Handy charts that sort activities
by manipulative type, math topic, domains aligned with standards,
and grade-level appropriateness. It's time to dive in and join in
the journey toward making manipulatives meaningful so math learning
is concrete, profound, and effective for your students!
It could happen in the morning during homework review. Or perhaps
it happens when listening to students as they struggle through a
challenging problem. Or maybe even after class, when planning a
lesson. At some point, the question arises: How do I influence
students' learning-what's going to generate that light bulb "aha"
moment of understanding? In this sequel to the megawatt best seller
Visible Learning for Mathematics, John Almarode, Douglas Fisher,
Nancy Frey, John Hattie, and Kateri Thunder help you answer that
question by showing how Visible Learning strategies look in action
in the mathematics classroom. Walk in the shoes of elementary
school teachers as they engage in the 200
micro-decisions-per-minute needed to balance the strategies, tasks,
and assessments seminal to high-impact mathematics instruction.
Using grade-leveled examples and a decision-making matrix, you'll
learn to Articulate clear learning intentions and success criteria
at surface, deep, and transfer levels Employ evidence to guide
students along the path of becoming metacognitive and self-directed
mathematics achievers Use formative assessments to track what
students understand, what they don't, and why Select the right task
for the conceptual, procedural, or application emphasis you want,
ensuring the task is for the right phase of learning Adjust the
difficulty and complexity of any task to meet the needs of all
learners It's not only what works, but when. Exemplary lessons,
video clips, and online resources help you leverage the most
effective teaching practices at the most effective time to meet the
surface, deep, and transfer learning needs of every student.
In this book, John Hattie, Doug Fisher, Nancy Frey, team up with
mathematics experts Linda M. Gojak, Sara Delano Moore, and William
Mellman to walk teachers through the key research-based moves they
should focus on in their mathematics classrooms - those with the
highest effect sizes in the phases of surface, deep, and transfer
learning. In accessible, every-day language, they offer their best
guidance to teachers on what surface, deep, and transfer learning
mean, look, and sound like in the mathematics context. How to
ensure teacher clarity through setting meaningful learning
intentions and success criteria that build on prior learning, and
by continually checking for understanding.
In high-impact mathematics instruction, it's not only what works,
but when. This hands-on sequel to Visible Learning for Mathematics
puts visible learning strategies in action using grade-leveled
examples and a decision-making matrix.
"This book is a must-have for anyone who has faced the challenge of
teaching problem solving. The ideas to be learned are supported
with a noticeably rich collection of classroom-ready problems,
examples of student thinking, and videos. Problem solving is at the
center of learning and doing mathematics. And so, Mathematize It!
should be at the center of every teacher's collection of
instructional resources." John SanGiovanni Coordinator, Elementary
Mathematics Howard County Public School System, Ellicott City, MD
Help students reveal the math behind the words "I don't get what
I'm supposed to do!" This is a common refrain from students when
asked to solve word problems. Solving problems is about more than
computation. Students must understand the mathematics of a
situation to know what computation will lead to an appropriate
solution. Many students often pluck numbers from the problem and
plug them into an equation using the first operation they can think
of (or the last one they practiced). Students also tend to choose
an operation by solely relying on key words that they believe will
help them arrive at an answer, which without careful consideration
of what the problem is actually asking of them. Mathematize It!
Going Beyond Key Words to Make Sense of Word Problems, Grades K-2
shares a reasoning approach that helps students dig into the
problem to uncover the underlying mathematics, deeply consider the
problem's context, and employ strong operation sense to solve it.
Through the process of mathematizing, the authors provide an
explanation of a consistent method-and specific instructional
strategies-to take the initial focus off specific numbers and
computations and put it on the actions and relationships expressed
in the problem. Sure to enhance teachers' own operation sense, this
user-friendly resource for Grades K-2 * Offers a systematic
mathematizing process for students to use when solving word
problems * Gives practice opportunities and dozens of problems to
leverage in the classroom * Provides specific examples of questions
and explorations for addition and subtraction of whole numbers as
well as early thinking for multiplication and division *
Demonstrates the use of concrete manipulatives to model problems
with dozens of short videos * Includes end-of-chapter activities
and reflection questions How can you help your students understand
what is happening mathematically when solving word problems?
Mathematize it!
"The list of math books to truly synthesize what we know so far and
what we need to know is a very short and exclusive list. Well, you
can confidently add Mathematize It to this collection. Written by
three of the most respected math educators today, the book zeros in
on that often poorly traveled journey between the question and
answer in problem solving. Mathematize It will be your go-to
resource to install the mathematical play revolution in elementary
classes everywhere!" Suni Singh Author of Pi of Life: the Hidden
Happiness of Mathematics and Math Recess: Playful Learning in an
Age of Disruption Help students reveal the math behind the words "I
don't get what I'm supposed to do!" This is a common refrain from
students when asked to solve word problems. Solving problems is
about more than computation. Students must understand the
mathematics of a situation to know what computation will lead to an
appropriate solution. Many students often pluck numbers from the
problem and plug them into an equation using the first operation
they can think of (or the last one they practiced). Students also
tend to choose an operation by solely relying on key words that
they believe will help them arrive at an answer, which without
careful consideration of what the problem is actually asking of
them. Mathematize It! Going Beyond Key Words to Make Sense of Word
Problems, Grades 3-5 shares a reasoning approach that helps
students dig into the problem to uncover the underlying
mathematics, deeply consider the problem's context, and employ
strong operation sense to solve it. Through the process of
mathematizing, the authors provide an explanation of a consistent
method-and specific instructional strategies-to take the initial
focus off specific numbers and computations and put it on the
actions and relationships expressed in the problem. Sure to enhance
teachers' own operation sense, this user-friendly resource for
Grades 3-5 * Offers a systematic mathematizing process for students
to use when solving word problems * Gives practice opportunities
and dozens of problems to leverage in the classroom * Provides
specific examples of questions and explorations for all four
operations (addition, subtraction, multiplication, and division)
with whole numbers, fractions, and decimals * Demonstrates the use
of concrete manipulatives to model problems with dozens of short
videos * Includes end-of-chapter activities and reflection
questions How can you help your students understand what is
happening mathematically when solving word problems? Mathematize
it!
Help students reveal the math behind the words "I don't get what
I'm supposed to do!" This is a common refrain from students when
asked to solve word problems. Solving problems is about more than
computation. Students must understand the mathematics of a
situation to know what computation will lead to an appropriate
solution. Many students often pluck numbers from the problem and
plug them into an equation using the first operation they can think
of (or the last one they practiced). Students also tend to choose
an operation by solely relying on key words that they believe will
help them arrive at an answer, without careful consideration of
what the problem is actually asking of them. Mathematize It! Going
Beyond Key Words to Make Sense of Word Problems, Grades 6-8 shares
a reasoning approach that helps students dig into the problem to
uncover the underlying mathematics, deeply consider the problem's
context, and employ strong operation sense to solve it. Through the
process of mathematizing, the authors provide an explanation of a
consistent method-and specific instructional strategies-to take the
initial focus off specific numbers and computations and put it on
the actions and relationships expressed in the problem. Sure to
enhance teachers' own operation sense, this user-friendly resource
for Grades 6-8: * Offers a systematic mathematizing process for
students to use when solving word problems * Gives practice
opportunities and dozens of problems to leverage in the classroom *
Provides specific examples of questions and explorations for
multiplication and division, fractions and decimals, as well as
operations with rational numbers * Demonstrates the use of visual
representations to model problems with dozens of short videos *
Includes end-of-chapter activities and reflection questions How can
you help your students understand what is happening mathematically
when solving word problems? Mathematize it!
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Discovery Miles 3 300
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