Whether a young mathematician is developing number sense or a secondary mathematician is developing functional fluency, multiple representations play a pivotal role. The Multiple Representation Activities resources are available to support building these fluencies. Also, using an adaptation of the classic Frayer model applied to mathematical representations supports building these fluencies at the point of instruction. The Multiple Representation Model can be used as a note-taking guide, as an assessment probe, or as a spiraling review. Five representations are given for each model. There is also a set that is given two per page to facilitate use in The Mathematicians’ Notebook. Another representation resource is the Multiple Representation Rectangle. This allows several spaces in which students can work with the various representations. There is also a two per page version, although the regular version does fit in The Mathematician’s Notebook. This resource is good for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains seven suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains six suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Writing is one of the parts of language that secondary mathematicians are still developing. For some students, ESL/ELL for example, what they know about mathematics may exceed their ability to communicate it through the written word. Students learn to write by writing. Writing needs to be original thought, not just copying something that someone else wrote. Therefore, it is imperative that opportunities are provided often for students to engage in writing about mathematics. As the teacher, providing an environment that is rich in mathematical language is a priority. Students’ writing should make sense and be complete. This will develop over time for secondary mathematicians as they have more opportunities to write about their experiences. Writing About offers a collaborative opportunity for small groups of students to work individually first to write about a concept and then to come together and putting their individual work into a paragraph about the topic. A word cloud is given as a prompt for words and ideas. Facilitation notes are provided as well as student activity sheet. This is a good activity for struggling students and ESL/ELL who may need some support in writing.

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains six suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that! Book not included.

Writing is one of the parts of language that young mathematicians are developing along with their reading, talking, and listening skills. For many students what they know about mathematics may exceed their ability to communicate it through the written word. Children learn to write by writing. Writing needs to be original thought, not just copying something that someone else wrote. Therefore it is imperative that opportunities are provided often for young children to engage in writing about mathematics. For the teacher, providing an environment that is rich in mathematical language is a priority. The following four learning station/center ideas can be first discussed in the classroom in a large group or small group setting before rotating out to an independent learning center. Facilitation notes are provided below for each station. The ideas presented are but a start for the many ways in which these activities can be adapted. Most of the masters have been made so they can be easily used in The Mathematician’s Notebook.

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains six suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that! Book not included.

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains seven suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that! Book not included.

This packet offers 10 diverse opportunities for writing in mathematics with over 35 individual prompts for intermediate students. Writing in mathematics involves more than just putting word to paper. Words need to be carefully chosen to communicate ideas and concepts clearly. Writing involves all of the language of mathematics. Reading, vocabulary, notations and symbols, diagrams, charts, graphs, and metacognition all serve a role as students are engaged in writing in mathematics. Many and varied opportunities need to be provided for students to engage in original thought writing. And remember, just because a students can say something in words, it in no way shows that they can write those same thoughts. Those are two different skill sets. Writing also provides opportunities for the verbal learner to excel as well as the creative learner. This beginning assortment of writing prompts can be adapted as needed for the course, topic, and level of the students. The important thing is to write! Just asking, “Why?”, “How did you think about that?”, “What could be another strategy used here?”, and “Is your conclusion reasonable?” requires students to engage in more than just procedural mathematics. On the back page is a sample of how journal prompt cards can be made for learning station facilitation or to print on labels for ELL/ESL and struggling learners and beginning writers.

NCTM describes “representation” as referring to both a process and a product. So mathematical representations include all the different ways that students depict their thinking as well as the processes they use to put their thinking into those forms. Representations have often been taught as an end in and of themselves, most as essential elements in supporting students’ understanding. When students gain access to mathematical representations and the ideas they express they acquire a set of tools that significantly expand their capacity to model and interpret physical, social, and mathematical phenomena. This activity takes the number 10 and represents it through a concrete manipulative, the written symbol, a verbal symbol, a diagram, picture, graph, drawing, or table, and an algebraic representation with a mathematical sentence. There is also a contextual problem for the students to work through. There are 5 sets of cards, each with 6 representations with facilitation notes. This resource is good for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, can make mathematics come alive as well as have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains nine suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide students authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for large or small groups, centers, learning stations and for intervention. The Life of Fibonacci is A MUST HAVE book for all teachers and is NOT included in this download. This resource is good for students with language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Young mathematicians, while learning to count, are also building understandings of our base ten number system. Number charts support the investigation of and discovery of many number patterns as well as serve as an aid in developing fluencies with composition and decomposition of numbers. Investigating patterns is the focus of this set of activities. A literacy connection as well as a technology integration is provided. Samples of 20, 50 charts, 100 charts and 1000 charts are given. Multiple charts per page are provided as well as blank charts or activity extensions. The two per page and four per page will fit nicely into the Mathematician’s Notebook.

One of the primary works of the secondary mathematician is building functional fluency. NCTM describes “representation” as referring to both a process and a product. So mathematical representations include all the different ways that students depict their thinking as well as the processes they use to put their thinking into those forms. Representations have often been taught as an end in and of themselves, most as essential elements in supporting students’ understanding. When students gain access to mathematical representations and the ideas they express they acquire a set of tools that significantly expand their capacity to model and interpret physical, social, and mathematical phenomena. This activity takes linear functions, with the same domain set, and represents them through verbal, tabular, graphical, symbolic, and set representations. There is also a contextual problem for each for the students to work through. There are six sets of cards, each with 6 representations with facilitation notes. This resource is good for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains seven suggested activities and "The King's Chessboard" activity to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that! Book not included.

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains eight suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that! Book not included.

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains six suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains ten suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that! Book not included with this resource.

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains nine suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that! Book not included.

Writing is one of the parts of language that students are developing. For some students, ESL/ELL for example, what they know about a topic may exceed their ability to communicate it through the written word. Students learn to write by writing. Writing needs to be original thought, not just copying something that someone else wrote. Therefore it is imperative that opportunities are provided often for students to engage in writing about a variety of content. Students’ writing should make sense and be complete. Writing About offers a collaborative opportunity for small groups of students to work individually first to write about a concept and then to come together and putting their individual work into a paragraph about the topic. A word cloud of Earth's Systems associated words is given as a prompt for words and ideas. Facilitation notes are provided as well as student activity sheet. This is a good activity for struggling students and ESL/ELL who may need some support in writing. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Mathematics is an art form. It is full of patterns and through the study of these patterns students at all ages discover and develop understandings of the many structures of mathematics. The following brief collection of patterns can be studied by students of all ages. The primary mathematician counts to finish the patterns or builds the nest pattern in the sequence. The secondary mathematician who creates a model to represent the pattern in order to predict any term of the sequence. Students need opportunities to engage with and experience a variety of patterns. One of the Habits of Mind roles is that of a pattern sniffer. (See Habits of Minds Roles Poster.) Patterns are presented in four ways. There are number patterns, dot patterns, toothpick patterns, and even letter patterns. Students can be given the patterns all at once and initially just determine the next element or the next three elements. They can then move to developing models later in the year as the related topics are addressed. For primary students, use them as they fit in with the topics being studied or use them for investigations in learning stations or centers. Students can use number charts and manipulatives as needed.