Strategies for Teaching Mathematics

The quickest way to lose a class is to start with objectives. The quickest way to win them? Start with a question they actually want answered. When I taught Algebra I swapped “Today we’re learning linear functions” for: * "Could a paper airplane cross the length of a football field?"     * "How long would it take to walk to the top of Mount Everest—on a treadmill?" Heads lifted, pencils moved, and equations suddenly felt useful. Over the years I’ve kept one rule for any lesson I design: open with a curiosity hook that ties directly to the concept. A good hook is: * Short (under 15 seconds)     * Concrete (students can picture it)     * Connected (leads straight into the math)     Here’s what happens when curiosity leads the way: * Engagement rises before the slide deck even appears     * Students remember the concept because they remember the story     * Even the quiet kids take a shot at the first problem     If we want meaningful learning, we have to pay the curiosity tax first.

How to Make Children Fall in Love with Mathematics Here’s one powerful way to make maths genuinely interesting for kids — connect every concept to something real. When a child learns percentages, talk about discounts during shopping. When they study geometry, let them find symmetry in nature or buildings. When they learn ratios, discuss music, recipes, or sports statistics. Maths becomes boring only when it’s taught as a list of rules. The moment it’s experienced rather than memorized, curiosity takes over. In my years of teaching, I’ve seen average students turn passionate once they realise maths is not about right answers — it’s about understanding patterns that shape the world around us. If we want kids to love maths, we must first let them see maths in action.

Learning flourishes when students are exposed to a rich tapestry of strategies that activate different parts of the brain and heart. Beyond memorization and review, innovative approaches like peer teaching, role-playing, project-based learning, and multisensory exploration allow learners to engage deeply and authentically. For example, when students teach a concept to classmates, they strengthen their communication, metacognition, and confidence. Role-playing historical events or scientific processes builds empathy, critical thinking, and problem-solving. Project-based learning such as designing a community garden or creating a presentation fosters collaboration, creativity, and real-world application. Multisensory strategies like using manipulatives, visuals, movement, and sound especially benefit neurodiverse learners, enhancing retention, focus, and emotional connection to content. These methods don’t just improve academic outcomes they cultivate lifelong skills like adaptability, initiative, and resilience. When teachers intentionally layer strategies that match students’ strengths and needs, they create classrooms that are inclusive, dynamic, and deeply empowering. #LearningInEveryWay

𝗦𝘁𝗿𝗼𝗻𝗴 𝗺𝗮𝘁𝗵 𝗮𝗰𝗵𝗶𝗲𝘃𝗲𝗺𝗲𝗻𝘁 𝘀𝘁𝗮𝗿𝘁𝘀 𝘄𝗶𝘁𝗵 𝘀𝗼𝗺𝗲𝘁𝗵𝗶𝗻𝗴 𝗱𝗲𝗲𝗽𝗲𝗿 𝘁𝗵𝗮𝗻 𝘀𝘁𝗮𝗻𝗱𝗮𝗿𝗱𝘀. 𝗜𝘁 𝘀𝘁𝗮𝗿𝘁𝘀 𝘄𝗶𝘁𝗵 𝗶𝗱𝗲𝗻𝘁𝗶𝘁𝘆. Before students can master mathematics, they need to believe: “𝗜 𝗮𝗺 𝘀𝗼𝗺𝗲𝗼𝗻𝗲 𝘄𝗵𝗼 𝗰𝗮𝗻 𝗱𝗼 𝗺𝗮𝘁𝗵.” Too often, students do not disengage from math because they lack ability. They disengage because they have internalized the belief that math is only for the “smart kids.” That belief becomes a ceiling. 𝗛𝗲𝗿𝗲 𝗮𝗿𝗲 𝟭𝟬 𝘄𝗮𝘆𝘀 𝘁𝗼 𝗵𝗲𝗹𝗽 𝗱𝗲𝘃𝗲𝗹𝗼𝗽 𝗮 𝘀𝘁𝗿𝗼𝗻𝗴 𝗺𝗮𝘁𝗵 𝗶𝗱𝗲𝗻𝘁𝗶𝘁𝘆: 𝟭. 𝗡𝗼𝗿𝗺𝗮𝗹𝗶𝘇𝗲 𝗽𝗿𝗼𝗱𝘂𝗰𝘁𝗶𝘃𝗲 𝘀𝘁𝗿𝘂𝗴𝗴𝗹𝗲 ↳ Struggle should signal thinking, not failure. Confusion is often the first sign that learning is happening. 𝟮. 𝗖𝗲𝗹𝗲𝗯𝗿𝗮𝘁𝗲 𝗿𝗲𝗮𝘀𝗼𝗻𝗶𝗻𝗴, 𝗻𝗼𝘁 𝗷𝘂𝘀𝘁 𝗿𝗶𝗴𝗵𝘁 𝗮𝗻𝘀𝘄𝗲𝗿𝘀 ↳ Praise the process, the strategy, and the explanation, not only correctness. 𝟯. 𝗠𝗮𝗸𝗲 𝘀𝘁𝘂𝗱𝗲𝗻𝘁 𝘁𝗵𝗶𝗻𝗸𝗶𝗻𝗴 𝘃𝗶𝘀𝗶𝗯𝗹𝗲 ↳ Use student work, discourse routines, and multiple solution paths so students see that math is about thinking, not speed. 𝟰. 𝗨𝘀𝗲 𝗰𝘂𝗹𝘁𝘂𝗿𝗮𝗹𝗹𝘆 𝗿𝗲𝗹𝗲𝘃𝗮𝗻𝘁 𝗰𝗼𝗻𝘁𝗲𝘅𝘁𝘀 ↳ Students build stronger identity when math reflects their lives, communities, and lived experiences. 𝟱. 𝗖𝗿𝗲𝗮𝘁𝗲 𝗲𝗮𝗿𝗹𝘆 𝘄𝗶𝗻𝘀 ↳ Small moments of success build confidence, and confidence builds persistence. 𝟲. 𝗦𝗵𝗶𝗳𝘁 𝘁𝗵𝗲 𝗹𝗮𝗻𝗴𝘂𝗮𝗴𝗲 ↳ Replace “I’m not a math person” with “I’m still learning this.” 𝟳. 𝗣𝗼𝘀𝗶𝘁𝗶𝗼𝗻 𝗺𝗶𝘀𝘁𝗮𝗸𝗲𝘀 𝗮𝘀 𝗱𝗮𝘁𝗮 ↳ Mistakes should be treated as information, not evidence of inability. 𝟴. 𝗕𝘂𝗶𝗹𝗱 𝗼𝗽𝗽𝗼𝗿𝘁𝘂𝗻𝗶𝘁𝗶𝗲𝘀 𝗳𝗼𝗿 𝘀𝘁𝘂𝗱𝗲𝗻𝘁 𝘃𝗼𝗶𝗰𝗲 ↳ Students should regularly explain, defend, question, and refine their thinking. 𝟵. 𝗛𝗶𝗴𝗵𝗹𝗶𝗴𝗵𝘁 𝗴𝗿𝗼𝘄𝘁𝗵 𝗼𝘃𝗲𝗿 𝗰𝗼𝗺𝗽𝗮𝗿𝗶𝘀𝗼𝗻 ↳ Focus on progress from where a student started, not how they compare to peers. 𝟭𝟬. 𝗥𝗲𝗳𝗹𝗲𝗰𝘁 𝗶𝗱𝗲𝗻𝘁𝗶𝘁𝘆 𝗯𝗮𝗰𝗸 𝘁𝗼 𝘀𝘁𝘂𝗱𝗲𝗻𝘁𝘀 ↳ Tell students what you notice:  “You’re thinking like a mathematician.” “That was strong reasoning.” “You persevered through that problem.” Strong math classrooms do not just build skills. They build belief. And belief changes outcomes. What is one way you help students develop a strong math identity? Drop it in the comments. __________________ ♻️ Repost if you believe math identity is foundational to achievement. ➕ Follow for practical strategies on math instruction, coaching, and leadership systems. 📬 Join my newsletter The 3-1-4 for actionable insights on improving math outcomes. Link in the comments. __________________ Hi, I’m Dwight Williams. A proud first-gen everything, and I help schools and districts strengthen math instruction through coaching, curriculum support, and data-informed systems that drive student confidence and achievement. 👍🏿 Like | 🔔 Follow | 💬 Comment | 🔁 Repost

When I ask 7-year-olds what 12 × 4 is, many say, “I haven’t learned the table of 12 yet.” But they 𝘩𝘢𝘷𝘦 learned the table of 4. They don’t realize—yet—that 12 × 4 is the same as 4 × 12. They’ve been taught multiplication as a chant, not a concept. As a poem, not a pattern. They’ve memorized tables without ever learning what multiplication really means. They are products of what I call the 𝐛𝐥𝐚𝐜𝐤𝐛𝐨𝐚𝐫𝐝 𝐜𝐥𝐚𝐬𝐬𝐫𝐨𝐨𝐦. In blackboard classrooms, the 𝙬𝙝𝙖𝙩 matters more than the 𝙬𝙝𝙮. Children are taught to calculate the sum of three numbers, but rarely asked to think about whether three odd numbers can ever add up to 30. (Can they?) As math educator Paul Lockhart once said: “Imagine a music school that teaches a lot of theory and notation, but never lets you hear the music. That’s how math is taught.” 11 years ago, I started Cuemath with one goal: to bring reasoning back to the math classroom. No pressure, no judgment—just deep thinking through models, puzzles, games, and conversation. Here’s an example: Look at this worksheet by one of our Grade 3 students. She showed four different ways to represent 15 × 5. Each one is correct. Each one shows real understanding. And the matchstick puzzle? A Grade 1 challenge. You have to move just one matchstick to make the equation correct. Our young students found not one, but three solutions. Yes, the obvious ones like changing 6 + 4 = 4 to 5 + 4 = 9 or 0 + 4 = 4. But one child even moved a stick to change the equals sign—turning the equation into 5 + 4 ≠ 4. That’s not memorization. That’s pure reasoning. At Cuemath, this is what we work towards every day - thinking algorithmically, choosing between mental models, and solving with flexibility. When children learn math this way, they aren’t just learning to calculate. They’re learning how to think. And that’s a skill for life. #mathematics #teaching #education

📖 Reading doesn’t have to be a silent, individual task. What if your students could teach each other while reading? Discover the Jigsaw Reading Method and other powerful strategies to make reading interactive and meaningful. Unlock Reading Skills with the Jigsaw Method, Students become “experts” on text parts, then share to build the full story. 2. Step 1 Break the text into smaller, manageable sections. 3. Step 2 Form expert groups—each group dives deep into one section. 4. Step 3 Reassign into mixed groups where students teach one another. 5. Step 4 Reconstruct the narrative together—everyone sees the bigger picture. 6. Helpful Supports ✔ Annotated passages ✔ Graphic organizers ✔ Guided prompts 7. Other Effective Reading Strategies ✨ Reciprocal Teaching – students take roles (summarizer, questioner, clarifier, predictor). ✨ Think–Pair–Share – quick reflection, peer discussion, then class sharing. ✨ Close Reading – multiple focused readings for deeper meaning. ✨ SQ3R Method – Survey, Question, Read, Recite, Review for structured comprehension. ✨ Reader’s Theater – dramatizing texts to build fluency and engagement. 8. Enhance the Experience 🔹 Use digital breakout rooms 🔹 Add visuals & timelines 🔹 Encourage peer questioning 🔹 End with a reflection or short writing task. Students don’t just read. They analyze, collaborate, and own the learning process. How do you make reading more interactive and collaborative in your classroom? #TeachingStrategies #ActiveLearning #ReadingComprehension #EnglishTeaching #EdTech #CollaborativeLearning #TeachingTips #StudentEngagement #LearningStrategies #OnlineTeaching

Keeping a class engaging and fun—while still being effective—requires a mix of creativity, structure, and responsiveness to student needs. Here are practical strategies you can use: 🔄 1. Mix Up Your Teaching Methods Use a variety of formats: lectures, group work, role-plays, games, debates, and storytelling. Include multimedia: videos, music, infographics, podcasts. Try movement-based activities: gallery walks, mingling surveys, or “find someone who…” 🎮 2. Gamify Learning Points and badges for participation, quizzes, or teamwork. Classroom games: Kahoot, Quizlet Live, Jeopardy-style reviews. Challenges: “Mission of the Week,” scavenger hunts, escape rooms. 🧠 3. Make It Student-Centered Encourage student talk time: pair work, group discussions, peer teaching. Let them choose topics or presentation styles sometimes. Project-based learning: real-world tasks like creating a video, brochure, or interview. 🎨 4. Use Creative Activities Role-play real-life scenarios (shopping, interviews, travel). Story-building: one-word-at-a-time stories, image prompts, or sentence chains. Drawing & acting: Pictionary, charades, skits. 🧩 5. Incorporate Mystery or Surprise Start with a mystery question or picture of the day. Hide clues or tasks in envelopes. Use unexpected materials like memes, emojis, or movie quotes. 🗣️ 6. Build Personal Connections Start with a fun warm-up or “question of the day.” Celebrate birthdays or achievements. Show genuine interest in their lives and progress. 🕒 7. Keep a Fast, Varied Pace Break lessons into 10–15-minute chunks. Always have a backup or “sponge” activity ready. Avoid dragging on any single task for too long. 📱 8. Use Technology Wisely Use apps: Padlet, Flip, Jamboard, Wordwall, Blooket. Let students record themselves or respond to videos. Try polls, live quizzes, and interactive boards. ✅ 9. Include Reflection and Feedback Let students rate activities (“Was this useful?” “Fun?”). Use exit tickets or quick surveys. Ask: “What should we do more of?” “Less of?” ☀️ 10. Stay Positive and Energetic Your enthusiasm is contagious. Use humor when appropriate. Don’t be afraid to have fun with your students!

Are your students forgetting fast? Struggling to transfer what they learn from situation to the next? The missing link? Schema: the mental architecture that organizes, connects, and deepens understanding. Schema is the mental structure that helps us organize and make sense of information. It’s how experts see connections and patterns instead of isolated facts. But students don’t build schema just by hearing information. They need intentional opportunities to physically and mentally organize concepts. Here’s one simple strategy: → Write the key concepts (nouns from your standards) on index cards. → Ask students to articulate how those concepts interact, moving them around to show a hierarchy, cycle, system or other structure that communicates relationships. → Put into sentences: Write or explain how the concepts interact, using factual evidence from specific contexts to ground their answers. This shifts students from memorizing terms to building meaningful networks of understanding. When students physically move ideas around and explain their thinking, they’re actively constructing schema. That’s what leads to long-term retention and flexible application of knowledge. Bigger picture, do this every single unit of study: 1) Identify 5–7 core concepts in a unit. 2) Build in time for students to organize and re-organize those ideas throughout the unit. 3) Use those concept maps as the basis for deeper writing, projects, or problem solving. This small shift changes the game from teaching content to building thinkers. Sources listed at the end of this piece I wrote in EdWeek: https://lnkd.in/eHks9XK4

The highest form of learning in mathematics isn’t solving - it’s creating. This week, I asked my students to design their own math problems. Not advanced. Not containing fancy ideas. Just simple, elegant questions that make you think. And once again, the results were beautiful. When children create problems, something shifts: 1. They understand concepts at a deeper level 2. They think like mathematicians, not just students 3. They learn creativity, not just computation 4. They experiment, question, tweak, and refine 5. They develop ownership over ideas Some of the problems they submitted (attached below) are pure and honest in a way only young minds can produce. No jargon. No tricks. Just the joy of mathematical thinking. I have done this activity every year, and it remains one of the most powerful tools I have ever used as a teacher. Because the moment a child creates a problem, they don’t just use mathematics , they build it. And that is when real education begins. If India wants more thinkers, creators, and Olympiad-level problem solvers, we must encourage students not only to solve math… but to invent it. Try this tonight: ask your child to create one math problem. You will be surprised by what emerges.

Co-teaching or Team Teaching: #One Teach, One Observe 🔹 How to Implement: One teacher leads the instruction while the other observes specific student behaviors, participation, or learning outcomes. Pre-plan what to observe and how to use the data. 🔹 Example: In a Grade 5 science class, Teacher A teaches a lesson on ecosystems while Teacher B observes how ELL students engage with the vocabulary. After class, both reflect on supports needed. #One Teach, One Assist 🔹 How to Implement: One teacher instructs, while the other circulates to help individuals or small groups. Focus support on students with IEPs, ELLs, or those struggling with content. 🔹 Example: During a math lesson on fractions, one teacher delivers the concept while the other supports students who are behind or need translation into their native language. # Station Teaching 🔹 How to Implement: Divide the class into small groups and rotate them between different stations, each led by a teacher or working independently. Plan each station to target different aspects of the same topic. 🔹 Example: In a middle school English lesson on persuasive writing: Station 1: Brainstorming ideas (teacher-led) Station 2: Sentence starters and structure (teacher-led) Station 3: Peer editing (independent) #Parallel Teaching 🔹 How to Implement: Split the class into two groups; each teacher teaches the same material simultaneously. Great for large groups or when you want more participation. 🔹 Example: In a history class, each teacher teaches a group about the causes of World War I. Smaller groups allow more debate and questioning. #Alternative Teaching 🔹 How to Implement: One teacher works with a larger group while the other pulls a smaller group for remediation, enrichment, or assessment. Rotate students across weeks based on needs. 🔹 Example: During a reading comprehension unit, one teacher re-teaches inference skills to struggling readers while the other leads a discussion with the rest of the class on figurative language. #Team Teaching (Tag Team) 🔹 How to Implement: Both teachers actively instruct together, sharing the stage and exchanging ideas during the lesson. Requires high collaboration and mutual respect. 🔹 Example: In a Grade 9 integrated science and math project, both teachers model how to collect data during a science experiment and use statistics to analyze results. #Best Practices for Implementation ✅ Plan Together Regularly Use co-planning time to align objectives, strategies, roles, and assessments. ✅ Define Roles Clearly Decide who leads, who supports, and how transitions will be handled during lessons. ✅ Differentiate Instruction Use collaborative settings to better meet diverse learning needs. ✅ Reflect and Adjust After each lesson, debrief together on what worked and what didn’t. ✅ Maintain Consistent Communication Use tools like shared digital planners, Google Docs, or apps to stay aligned.