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!

One Duck Stuck, by Phyllis Root, is a beloved children’s book. Not only does the story engage children it can also serve as a foundation for many mathematical investigations for primary mathematicians. The natural progression from counting and making comparisons is to composing and decomposing numbers. The earlier experiences with sets and the relationships between numbers laid the foundation for young mathematicians to learn about operating with numbers. Using operations to make sense of situations in their world or to describe events in their world helps young children build an understanding for the need for operations. The discovery of some basic properties, such as the commutative property of addition, also allow students to build strategies for working with progressively larger numbers as they move from kindergarten through second grade. Primary mathematicians first model “put together” and “take apart” situations using concrete objects, drawings, etc. These concepts are then expanded to composing and decomposing numbers additively. A connection to students’ prior work with building sets is important as students are developing fluencies with their addition and subtractions facts. Children need many opportunities to experience these situations. Incorporating a familiar story allows children to practice these mathematical ideas in a contextual setting. To effectively facilitate these activities, be sure to cover the common addition and subtraction situations found in Table 1, CCSSM, page 88. Questions are provided that can be used during the development of the activity to determine the desired focus of the lesson. It is very important that young mathematicians understand that numbers are quantities represented by numerals, pictures, numerals, etc. Materials are listed for each of the activities. The 25 pages include both black line masters as well as color masters have been provided. Suggestions for preparing the materials have been noted as well to facilitate making classroom sets for long term use. 16 blackline and color masters 8 pages of facilitation notes, sample questions, and extensions 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!

One Duck Stuck, by Phyllis Root, is a beloved children’s book. Not only does the story engage children it can also serve as a foundation for many mathematical investigations for primary mathematicians. These lessons draw from the counting and cardinality standards. Children love playing with dominoes. These two sets of dominoes offer children a chance to practice their subitizing skills as well as strengthening their sense of number. Dominoes are great for young children because they are so simple to use. Questions are provided that can be used during the development of the activity to determine the desired focus of the lesson. It is very important that young mathematicians understand that numbers are quantities represented by numerals, pictures, numerals, etc. Materials are listed for each of the activities. The 42 pages include both black line masters as well as color masters have been provided. Suggestions for preparing the materials have been noted as well to facilitate making classroom sets for long term use. 36 pages of blackline and color masters 4 pages of facilitation notes, extensions, and sample questions 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!

Students at all levels need many experiences with estimating. This second collection of fifteen full-color photographs can be used as journal prompts, discussion starters, bell ringers, or for centers, small groups, or learning stations. These pictures have been chosen and formatted with estimation in mind but serve many other academic topics as well as opportunities for making meaning through writing. Pictures include animals, plants, and inanimate objects and holidays. Facilitation notes are provided. 15 colorful images 3 pages of facilitation notes This resource is useful 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!

Students at all levels need many experiences with estimating. This third collection of fifteen full color photographs can be used as journal prompts, discussion starters, bell ringers, or for centers, small groups, or learning stations. These pictures have been chosen and formatted with estimation in mind but serve many other academic topics as well as opportunities for making meaning through writing. Pictures include animals, plants, and inanimate objects and holidays. Facilitation notes are provided. 15 images 3 pages of facilitation notes This resource is useful 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!

Working toward functional fluency is a major goal of secondary mathematicians. As students progress through the six levels of Modular Math: Functions they will have opportunities to develop the definition for a function as well as to work with and understand the notation and symbolic representations for various functions. Technology will be incorporated as they investigate both linear functions and quadratic functions. Verbal, one-to-one, onto, and diagrammatic representations of functions will be studied as well as composition. Modular Mathematics is an alternative for students and teachers who would like something different or something additional to support the building of function fluency in secondary mathematicians. This is not your usual collection of notes, thoughts, writing assignments or activities. A student journal template is provided as well as a concept exploration graphic organizer. 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!

Working toward functional fluency is a major goal of secondary mathematicians. As students progress through the six levels of Modular Math: Functions they will have opportunities to develop the definition for a function as well as to work with and understand the notation and symbolic representations for various functions. Technology will be incorporated as they investigate both linear functions and quadratic functions. Verbal, one-to-one, onto, and diagrammatic representations of functions will be studied as well as composition. Modular Mathematics is an alternative for students and teachers who would like something different or something additional to support the building of function fluency in secondary mathematicians. This is not your usual collection of notes, thoughts, writing assignments or activities. A student journal template is provided as well as a concept exploration graphic organizer. 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!

Working toward functional fluency is a major goal of secondary mathematicians. As students progress through the six levels of Modular Math: Functions they will have opportunities to develop the definition for a function as well as to work with and understand the notation and symbolic representations for various functions. Technology will be incorporated as they investigate both linear functions and quadratic functions. Verbal, one-to-one, onto, and diagrammatic representations of functions will be studied as well as composition. Modular Mathematics is an alternative for students and teachers who would like something different or something additional to support the building of function fluency in secondary mathematicians. This is not your usual collection of notes, thoughts, writing assignments or activities. A student journal template is provided as well as a concept exploration graphic organizer. 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!

Working toward functional fluency is a major goal of secondary mathematicians. As students progress through the six levels of Modular Math: Functions they will have opportunities to develop the definition for a function as well as to work with and understand the notation and symbolic representations for various functions. Technology will be incorporated as they investigate both linear functions and quadratic functions. Verbal, one-to-one, onto, and diagrammatic representations of functions will be studied as well as composition. Modular Mathematics is an alternative for students and teachers who would like something different or something additional to support the building of function fluency in secondary mathematicians. This is not your usual collection of notes, thoughts, writing assignments or activities. A student journal template is provided as well as a concept exploration graphic organizer. 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!

Rooster's Off to See the World, by Eric Carle, is a beloved children’s book. Not only does the story engage children it can also serve as a foundation for many mathematical investigations for primary mathematicians. One interesting and important concept in mathematics is Pascal’s Triangle. The combination of Rooster's Off to See the World and the related mathematical concepts that can be found in Pascal’s Triangle allows students a fun, unique, and engaging venue for developing mathematical literacy. Questions are provided that can be used during the development of the activity to determine the desired focus of the lesson. It is very important that young mathematicians understand that numbers are quantities represented by numerals, pictures, numerals, etc. Materials are listed for each of the activities. The 30 pages include both black line masters as well as color masters have been provided. Suggestions for preparing the materials have been noted as well to facilitate making classroom sets for long term use. 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!

This packet offers 11 diverse opportunities for writing in mathematics with over 40 individual prompts for primary 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.

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.

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.

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.

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. For that reason, pictures, diagrams, and the use of manipulatives support the students’ efforts in communicating about their mathematical experiences. 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. Providing students a Mathematician's’ Notebook, if for nothing else but the development of a Glossary and a Journal, offers a place where students can record their thoughts and experiences as it chronicles their growth over time while on their mathematical journey. Students’ writing should include discussions about what they did or how they thought, why they thought or did what they did. Strategy names and correct mathematical language need to be included as appropriate. 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. 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.

Rooster's Off to See the World by Eric Carle, is a beloved children’s book. Not only does the story engage children it can also serve as a foundation for many mathematical investigations for primary mathematicians. The natural progression from counting and making comparisons is to composing and decomposing numbers. The earlier experiences with sets and the relationships between numbers laid the foundation for young mathematicians to learn about operating with numbers. Using operations to make sense of situations in their world or to describe events in their world helps young children build an understanding for the need for operations. The discovery of some basic properties, such as the commutative property of addition, also allow students to build strategies for working with progressively larger numbers as they move from kindergarten through second grade. Primary mathematicians first model “put together” and “take apart” situations using concrete objects, drawings, etc. These concepts are then expanded to composing and decomposing numbers additively. A connection to students’ prior work with building sets is important as students are developing fluencies with their addition and subtractions facts. Children need many opportunities to experience these situations. Incorporating a familiar story allows children to practice these mathematical ideas in a contextual setting. To effectively facilitate these activities, be sure to cover the common addition and subtraction situations found in Table 1, CCSSM, page 88. Questions are provided that can be used during the development of the activity to determine the desired focus of the lesson. It is very important that young mathematicians understand that numbers are quantities represented by numerals, pictures, numerals, etc. Materials are listed for each of the activities. The 25 pages include both black line masters as well as color masters have been provided. Suggestions for preparing the materials have been noted as well to facilitate making classroom sets for long term use.

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 the mathematics being studied come alive for the student as well as have meaning, and can help to differentiate instruction as well as support ELL/ESL students. See several samples of the mathematics that can be experienced by students from kindergarten through high school through well-known pieces of children’s literature. Experience how mathematics and the way it is presented can help make mathematics more accessible and understandable for students at all levels. Contains over 80 assorted activities with over 25 to engage students as you read, over 30 for students to experience Being a mathematician, and over 20 activities to provide students authentic Opportunities for writing. Activities can be adapted for large group, small group, centers, learning stations and for intervention. A MUST HAVE book for all primary teachers. Several activity sheets and blackline masters are included as well as tables identifying key words, topics, and suggested manipulatives. Books 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, can make the mathematics being studied come alive for the student as well as have meaning, and can help to differentiate instruction as well as support ELL/ESL students. See several samples of the mathematics that can be experienced by students from kindergarten through high school through well-known pieces of children’s literature. Experience how mathematics and the way it is presented can help make mathematics more accessible and understandable for students at all levels. Contains over 80 assorted activities with over 30 to engage students AS YOU READ, over 35 for students to experience BEING A MATHEMATICIAN, and over 24 activities to provide students authentic OPPORTUNITIES FOR WRITING. Activities can be adapted for large group, small group, centers, learning stations and for intervention. A MUST HAVE book for all middle school teachers. Several activity sheets and blackline masters are included as well as tables identifying key words, topics, and suggested manipulatives. Books 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, can make the mathematics being studied come alive for the student as well as have meaning, and can help to differentiate instruction as well as support ELL/ESL students. See several samples of the mathematics that can be experienced by students from kindergarten through high school through well-known pieces of children’s literature. Experience how mathematics and the way it is presented can help make mathematics more accessible and understandable for students at all levels. Contains over 80 suggested activities with over 32 to engage students AS YOU READ, over 26 for students to experience BEING A MATHEMATICIAN, and over 24 activities to provide students authentic OPPORTUNITIES FOR WRITING. Activities can be adapted for large or small group, centers, learning stations and for intervention. A MUST HAVE book for all high school teachers. Several activity sheets and blackline masters are included as well as tables identifying keywords, topics, and suggested manipulatives. Books not included.

One Duck Stuck, by Phyllis Root, is a beloved children’s book. Not only does the story engage children it can also serve as a foundation for many mathematical investigations for primary mathematicians. Using doubles is one of the foundational strategies for primary mathematicians as they are building number sense. Connecting this study to a familiar story makes these activities more engaging for students. Additional literacy connections are suggested for use with introducing the concept of doubles. Questions are provided that can be used during the development of the activity to determine the desired focus of the lesson. It is very important that young mathematicians understand that numbers are quantities represented by numerals, pictures, numerals, etc. Materials are listed for each of the activities. The 12 pages include both black line masters as well as color masters have been provided. Suggestions for preparing the materials have been noted as well to facilitate making classroom sets for long term use. 45 pages of blackline and colorline masters 5 pages of facilitation notes and sample questions 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!