Maths integrity and its big picture are vital because maths is perfectā€”but explaining it all at once would take a million words (and no one has time for that!). Thatā€™s why Iā€™ve created my own terms and visualsā€”because one picture truly can save a thousand words!

Hereā€™s what these terms and visuals meanā€”a quick guide to help you understand my language as I explain how the Brain to Maths teaching method works and how it can be used by parents.

Dr. M’s Key Terms and VisualsĀ 

Press the corresponding button to read the description of each term or picture.

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</p> <h2><span style='color: #000000;'>šŸŒ³<span style='color: #ffffff;'>The Maths Tree</span> – a childā€™s roadmap for maths learning.</span></h2> <h2><span style='color: #000000;'>This is essentially a diagram that illustrates all the maths topics covered in the standard traditional syllabus across schools worldwideā€”from nursery level (4-5 years old) to GCSE level (15-16 years old)ā€”organised to maintain and reflect the <span style='color: #ffffff;'><em>integrity</em></span> of maths.</span></h2> <h2><span style='color: #000000;'><img class='alignnone wp-image-6961' src='https://www.athomewithmaths.info/wp-content/uploads/2025/01/Key-to-Maths-INTRO-300x300.png' alt='' width='99' height='99' />It also includes foundational maths concepts that parents often teach their children before they start school.</span></h2> <h3><span style='color: #ffffff;'>You can make a huge difference in your child’s maths learning by helping them build healthy foundations.Ā </span><span style='color: #ffffff;'>With strong foundations, maths will never be a </span><span style='color: #ffffff;'>serious problem for them.</span></h3> <h2><span style='color: #000000;'>In fact, chances are theyā€™ll never need to ask you for help with fractions, column methods, or anything else at all!</span></h2> <h2><span style='color: #000000;'>And if you follow Dr. M’s guides within this hub, their foundations will be so strong that youā€™ll never have to search for SOS tutorsā€”failed tests or mock exams will simply not be a concern!</span></h2> <h3><a title='Dr. Mā€™s Guarantee' href='https://www.athomewithmaths.info/home-page/dr-ms-guarantee/' target='_blank' rel='noopener'><span style='color: #ffffff;'><img class='alignnone wp-image-6968' src='https://www.athomewithmaths.info/wp-content/uploads/2025/01/B.R.A.N.D.-Dr.-M-Guaranteed-āœ…-TRANSPARENT-300x248.png' alt='' width='130' height='108' /></span></a></h3> <h2><span style='color: #000000;'>Please give me the benefit of the doubt and keep exploring the Hub.</span></h2> <h2><span style='color: #000000;'>The claims above are based on a very recent scientific discoveryā€”so recent that many teachers and schools are simply not yet aware of it.</span></h2> <h2><span style='color: #000000;'>While your childā€™s school is still catching up with the science, I invite you to take full advantage of it for your childā€”right now!</span></h2> <h2><span style='color: #000000;'>Remember what science has proven:</span></h2> <h2><span style='color: #ffffff;'>Maths to Brain āŒ</span><br /> <span style='color: #ffffff;'>Brain to Maths āœ…</span></h2> <h2><span style='color: #000000;'>No matter how strongā€”or not so strongā€”your maths is, </span><span style='color: #000000;'>trust your common sense and your brain!</span></h2> <h2><span style='color: #ffffff;'>Keep browsing!</span><br /> <span style='color: #ffffff;'>Your brain will never let you or your child down. šŸ˜Š</span></h2> <h2></h2> <p>
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</p> <h2><span style='color: #ffffff;'>Maths is perfectā€”100% perfect.Ā </span><span style='color: #ffffff;'><img class='alignnone size-medium wp-image-6937' src='https://www.athomewithmaths.info/wp-content/uploads/2025/01/MERGE-šŸ”¬-PICTURES-4-3b-DIAMONDS-ver-2-50-240x300.png' alt='' width='240' height='300' /></span></h2> <h2><span style='color: #ffffff;'>In fact, itā€™s even more perfect than diamonds!</span></h2> <h2><span style='color: #ffffff;'><img class='alignnone size-medium wp-image-6936' src='https://www.athomewithmaths.info/wp-content/uploads/2025/01/MERGE-šŸ”¬-PICTURES-4-3b-DIAMONDS-ver-1-50-227x300.png' alt='' width='227' height='300' />A broken diamond or one with impuritiesĀ is still a diamond, but one incorrect word or idea outside the maths system destroys its integrity, and maths stops making sense. Thatā€™s why I prefer to use the analogy of maths and a carefully arranged pile of stones.</span></h2> <p>
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</p> <h2><span style='color: #ffffff;'><strong>Mathematics is 100% perfect. </strong></span><span style='color: #ffffff;'><strong><img class='alignnone size-medium wp-image-6926' src='https://www.athomewithmaths.info/wp-content/uploads/2025/01/PERFECT-maths-DISTORTED-stones-2.-ONE-distortion-25-274x300.png' alt='' width='274' height='300' /></strong></span></h2> <h2><span style='color: #ffffff;'><strong>Just one awkward word, sentence, or idea outside the maths system can damage or even destroy its integrity, leaving children muddling through </strong></span></h2> <h2><span style='color: #ffffff;'><strong><img class='alignnone size-medium wp-image-6927' src='https://www.athomewithmaths.info/wp-content/uploads/2025/01/PERFECT-maths-DISTORTED-stones-3.-THREE-distortions-25-300x281.png' alt='' width='300' height='281' /></strong></span></h2> <h2></h2> <h2><span style='color: #ffffff;'><strong>and often giving up. </strong></span></h2> <h2><span style='color: #ffffff;'><strong>Once graduated, they remember maths only as a set of catchy sentences that made no sense to them, with negative numbers associated with something like a black hole where they were trapped throughout their school years.</strong></span></h2> <h2><img class='alignnone wp-image-6944 size-full' src='https://www.athomewithmaths.info/wp-content/uploads/2025/01/PERFECT-maths-DISTORTED-stones-4.-FINAL-ver-4-25.png' alt='' width='733' height='528' /></h2> <p>
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</p> <h2>Science has shown that it is practically impossible to <span style='color: #f1a31c;'><em>explain</em></span> maths to students who have not yet crossed šŸ’œTHE GREAT MATHS BARRIERšŸ§ +šŸ’œ. I refer to teaching methods that rely on direct explanations of maths as</h2> <h2>Maths to Brain <span style='color: #ff0000;'>X</span>.</h2> <h2>In contrast,</h2> <h2>Brain to Maths <span style='color: #008000;'>V</span></h2> <h2>is a novel teaching method that focuses on gradually <span style='color: #f1a31c;'><em>conveying</em> </span>maths ideas to students using carefully crafted šŸŽ  MATHS PUNCHLINESšŸŽˆ. These concise, simple statements, perfectly aligned with the integrity of maths, help students crossĀ šŸ’œTHE GREAT MATHS BARRIERšŸ§ +šŸ’œĀ as quickly as possible. Once theyā€™ve crossed the barrier, maths explanations become effective, allowing students to progress and learn maths to any level they aspire to.</h2> <p>
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Key Terms –Ā Mathematics

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