Total Maths Mastery
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Multi-sensory Maths
4 Assessments, 85 Lessons
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1 Chapter
Pedagogy of Explicit Multi-Sensory Maths Instruction
3 Assessments, 10 Lessons
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Introduction to the pedagogy of multi-sensory maths and I-CRAVE Maths* Methodology. This was developed through Esther White's 20+ years of investigating how to enable all teachers to bring the most effective research and evidence based understandings for teaching maths into their everyday practice.
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Introduction to the pedagogy of multi-sensory maths and I-CRAVE Maths* Methodology. This was developed through Esther White's 20+ years of investigating how to enable all teachers to bring the most effective research and evidence based understandings for teaching maths into their everyday practice.
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Here we consider what maths is, and the simplicity of teaching it as a language with it's own set of unique symbols, rules and standards.
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Consider here the opportunity to take your understanding of how to teach a language such as English, and transfer this into the way we teach the language of maths. With just one explicit tool for teaching whole numbers, another for teaching fractions of numbers and algebra, and accuracy in your instruction, immediately you'll reduce cognitive load and simplify maths for every student.
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A student's stages of development impact their ability to learn. Here we will review an understanding of what is critical for the student to develop trust in the count through a multi-sensory, sequential, mastery-based and student-paced approach.
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Students with learning differences often show us the holes or inaccuracies in our teaching. Their inability to 'fill in the gaps' as other students may do reveal to us the importance of both clear, accurate instruction that clearly outlines every step, as well as a model that can be repeated with confidence.
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Research into best teaching practice and a 'Response to Intervention' model have captured the critical components for effective numeracy instruction. With the intent that all students can be taught within a larger classroom, early identification of students lagging in understanding are addressed through small groups and then individualised instruction. The teacher must be trained to be able to identify and address these learning needs before the gap is too wide and the student risks falling behind.
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This lesson continues to build on 'Pedagogy 1' and teaches you the 'I-CRAVE Maths' Model of Instruction as a framework for all instruction.
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For a student to progress through maths, foundations must be established before progress. In this lesson we review the most efficient sequence of numeracy instruction that not only reduces teaching time (since prior knowledge is already established) but produces confident students that enjoy maths because they succeed at every lesson!
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Every single one of us has craved something in our lives before. In this lesson, you'll enjoy - and remember - the simplicity of Esther White's 'I-CRAVE Maths' Model of Instruction as a framework for every maths lesson you will ever teach..
1 Chapter
Counting
1 Assessment, 8 Lessons
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Teaching counting can be likened to the teaching of an alphabet. One must understand the symbols, nomenclature, principles and levels of counting and be able to teach this skill explicitly to ensure the student can progress with confidence.
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Teaching counting can be likened to the teaching of an alphabet. One must understand the symbols, nomenclature, principles and levels of counting and be able to teach this skill explicitly to ensure the student can progress with confidence.
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To begin in maths, we must be able to count by singular units. This first skill, whereby we match the symbols to the words and unit blocks primarily is for teaching this progression from zero to nine.
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Within the language of maths, we use certain specific symbols that have absolutely no inherent meaning. These symbols are the building blocks upon which we can use this code form - or language - to communicate the world around us.
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Teaching counting can be likened to the teaching of an alphabet. One must understand the symbols, nomenclature, principles and levels of counting and be able to teach this skill explicitly to ensure the student can progress with confidence.
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Understanding the principles of counting will ensure you establish foundations necessary for a student to be able to progress to addition.
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Here you will experience a demonstration of 'how' to teach counting. Ensure one-to-one correspondence and see that the rectangular shape as a model for imagining with confidence sets a student up for success and an enjoyment of maths you may not have thought possible.
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Following the 'I-CRAVE Maths' Methodology will ensure fluency before progressing beyond this critical skill of counting.
1 Chapter
Place Value
7 Lessons
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Understanding place value lays a structure to be able to now count our units. In this lesson we master the repeating pattern of 'hundreds - tens - units' and ensure the framework is solid for communicating within this language of maths.
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Understanding place value lays a structure to be able to now count our units. In this lesson we master the repeating pattern of 'hundreds - tens - units' and ensure the framework is solid for communicating within this language of maths.
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We use the following just ten symbols within a repeating pattern of 'hundreds. tens, units' (whether ones, thousands, millions, billions and beyond). These ten symbols are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. No other symbols are used to represent numbers in our base ten decimal system.
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We use specific words and rules (with exceptions to the rules), just as in any other language. Consider the abstract words that we use to represent numbers in our base ten decimal system: zero, one, two, three, four, five, six, seven, eight, nine, ten and more.
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Understand the principles we use within place value to communicate numbers accurately and effectively.
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Here we include demonstrations for teaching place value with the Integer Block Kit and also the Teacher Magnetic Block Kit. Watch each video and consider the intricacies of teaching Place Value.
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Review 'I-CRAVE Maths' methodology and its application in teaching place value explicitly.
1 Chapter
Addition
8 Lessons
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Addition can also be referred to as fast adding, and enables us to progress from counting by units. This skill is critical for the student to progress and master more complex life applications with confidence. We will introduce new symbols, nomenclature, principles and a sequential demonstration of teaching addition in a sequence that will support mastery.
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Addition can also be referred to as fast adding, and enables us to progress from counting by units. This skill is critical for the student to progress and master more complex life applications with confidence. We will introduce new symbols, nomenclature, principles and a sequential demonstration of teaching addition in a sequence that will support mastery.
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Our addition symbol with two lines brought together into a plus sign + shows that we are progressing to bringing just two blocks together. Once a student knows the integer blocks they can progress to addition and never have to revert back to unit counting again.
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The symbols of addition are merely codes that are representation of what we build with the Integer Blocks.
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Here we will introduce the words we use within the language of maths and in everyday life situations to communicate addition.
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Understand the principles of teaching addition in a sequence that will support mastery.
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Enjoy a demonstration for teaching addition.
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Review 'I-CRAVE Maths' methodology and its application in teaching addition explicitly.
1 Chapter
Subtraction
7 Lessons
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Subtraction is the inverse of addition. Once your student has mastered addition, they have all of the necessary knowledge to master subtraction. However our symbols, nomenclature and principles are different. Explicit instruction and accurate demonstrations enable a student to master subtraction with ease as we continue to use the same manipulative tool to simplify understanding and reduce cognitive load.
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Subtraction is the inverse of addition. Once your student has mastered addition, they have all of the necessary knowledge to master subtraction. However our symbols, nomenclature and principles are different. Explicit instruction and accurate demonstrations enable a student to master subtraction with ease as we continue to use the same manipulative tool to simplify understanding and reduce cognitive load.
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The symbols of addition are merely codes that are representation of what we build with the Integer Blocks.
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Here we will introduce the words we use within the language of maths and in everyday life situations to communicate subtraction. Mastery of addition is critical to make this progression with ease, accuracy and confidence.
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Understand the principles of subtraction to support mastery.
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See a demonstration for teaching subtraction confidently.
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Review 'I-CRAVE Maths' methodology and its application in teaching subtraction explicitly.
1 Chapter
Telling Time
6 Lessons
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Telling time is an important skill to learn. Having likely not yet mastered a base ten system, we are now introducing the student to a base sixty system that has many additional complexities included within. Within this lesson we identify these complexities, one by one, and learn to teach these clearly for ease of understanding.
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See a demonstration for teaching time confidently.
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See a demonstration for teaching time confidently.
7 Lessons
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In this lesson we master all that is needed for effectively teaching multiplication. We are progressing the student to fast addition through building bigger rectangles to establish accuracy and confidence with firstly simple rectangles, then larger rectangles. This lays a framework not only for whole number multiplication, but for that of fractions, decimals, percents and algebraic equations. Following the same course structure as previous lessons, you will learn to effectively and easily teach multiplication that will not rely on mere rote memorisation but on understanding.
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In this lesson we master all that is needed for effectively teaching multiplication. We are progressing the student to fast addition through building bigger rectangles to establish accuracy and confidence with firstly simple rectangles, then larger rectangles. This lays a framework not only for whole number multiplication, but for that of fractions, decimals, percents and algebraic equations. Following the same course structure as previous lessons, you will learn to effectively and easily teach multiplication that will not rely on mere rote memorisation but on understanding.
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In this lesson we master all that is needed for effectively teaching multiplication. We are progressing the student to fast addition through building bigger rectangles to establish accuracy and confidence with firstly simple rectangles, then larger rectangles. This lays a framework not only for whole number multiplication, but for that of fractions, decimals, percents and algebraic equations. Following the same course structure as previous lessons, you will learn to effectively and easily teach multiplication that will not rely on mere rote memorisation but on understanding.
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In this lesson we master all that is needed for effectively teaching multiplication. We are progressing the student to fast addition through building bigger rectangles to establish accuracy and confidence with firstly simple rectangles, then larger rectangles. This lays a framework not only for whole number multiplication, but for that of fractions, decimals, percents and algebraic equations. Following the same course structure as previous lessons, you will learn to effectively and easily teach multiplication that will not rely on mere rote memorisation but on understanding.
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See a demonstration for teaching multiplication confidently.
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See a demonstration for teaching multi-digit multiplication confidently.
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Review 'I-CRAVE Maths' methodology and its application in teaching multiplication explicitly.
6 Lessons
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Division is simple to teach if done so after multiplication is mastered. In teaching it as the opposite of multiplication, or fast subtraction, we create an accurate link and a natural ease of progression for the student who is now cofortable and proficient with building rectangles. WIth our 'I-CRAVE Maths' model of instruction, the student comes to understand the key difference between multiplication and division is more in the life situations to which division can relate, the symbols used and the language we use in both maths and english language to communicate our worlds.
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Division is simple to teach if done so after multiplication is mastered. In teaching it as the opposite of multiplication, or fast subtraction, we create an accurate link and a natural ease of progression for the student who is now cofortable and proficient with building rectangles. WIth our 'I-CRAVE Maths' model of instruction, the student comes to understand the key difference between multiplication and division is more in the life situations to which division can relate, the symbols used and the language we use in both maths and english language to communicate our worlds.
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Division is simple to teach if done so after multiplication is mastered. In teaching it as the opposite of multiplication, or fast subtraction, we create an accurate link and a natural ease of progression for the student who is now cofortable and proficient with building rectangles. WIth our 'I-CRAVE Maths' model of instruction, the student comes to understand the key difference between multiplication and division is more in the life situations to which division can relate, the symbols used and the language we use in both maths and english language to communicate our worlds.
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Division is simple to teach if done so after multiplication is mastered. In teaching it as the opposite of multiplication, or fast subtraction, we create an accurate link and a natural ease of progression for the student who is now cofortable and proficient with building rectangles. WIth our 'I-CRAVE Maths' model of instruction, the student comes to understand the key difference between multiplication and division is more in the life situations to which division can relate, the symbols used and the language we use in both maths and english language to communicate our worlds.
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See a demonstration for teaching division confidently.
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Division is simple to teach if done so after multiplication is mastered. In teaching it as the opposite of multiplication, or fast subtraction, we create an accurate link and a natural ease of progression for the student who is now cofortable and proficient with building rectangles. WIth our 'I-CRAVE Maths' model of instruction, the student comes to understand the key difference between multiplication and division is more in the life situations to which division can relate, the symbols used and the language we use in both maths and english language to communicate our worlds.
15 Lessons
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6 Lessons
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5 Lessons
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As CEO and Leading Multi-Sensory Maths Specialist for Maths Australia, Esther’s passion is for every Australian child to be empowered in life through a strong foundation in maths. Esther is a professional development teacher trainer in multi-sensory maths and prides herself on delivering expert training based on research and evidence, teaching to every child’s learning style and equipping teachers with a simple-to-follow, hands-on methodology.
Her warmth and vision are palpable as she shares from her own 24 years of experience in teaching and sharing effective strategies and proven systems for maths mastery.
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