Real World Math Teaching: How to Make Mathematics Engaging in Any Classroom

Every mathematics teacher knows the question. It arrives somewhere between the second worked example and the homework set, usually from the back row: "Where will I ever use this?"

It stings because it is fair. You know the answer. You have seen how ratios run a kitchen, how angles hold up a building, how percentages decide whether a loan is a good idea. But the textbook rarely says so, the syllabus moves fast, and the bell rings before you get there.

Shreya Muthamma K.S. has heard that question in more kinds of classrooms than most. Over eight years she has taught mathematics in higher education, in primary and secondary schools, in rural and urban India, and in multicultural classrooms in the UAE. In a Suraasa Teaching Tales conversation with host Michelle Dennis, she laid out what actually moves students from "math is boring" to "oh, so that's why."

Her answer is not a trick. It is a way of teaching that starts with purpose, builds through movement and discovery, and holds together through relationships. This article walks through each part, with practical ways to bring real world math teaching into your own lessons on Monday morning.

Overcoming the 'Math Is Boring' Perception in Secondary Classrooms

Disengagement in mathematics rarely starts as dislike. It starts as disconnection. A student meets a formula with no story attached, practises it twenty times, and files it away as something that exists only for exams. By secondary school, that pattern has hardened into a belief: math is boring, math is not for me, math has nothing to do with my life.

Shreya's diagnosis is direct. Students detach because the concepts feel disconnected from reality. Her remedy is equally direct: frame the problem with its real-world implementation first, so learners understand why the skill is worth mastering.

"Once a student know why they have to learn a particular topic, they'll put in interest." (Shreya Muthamma K.S.)

The evidence agrees with her. A RAND Corporation study of secondary mathematics students found that the students most prone to disengage in math lessons want fewer online activities and more real-world applications in their math classes. In other words, the students you are most worried about are telling you exactly what they need. They are not asking for more drills on a screen. They are asking for a reason.

This matters beyond one lesson. OECD work on mathematics learning has repeatedly drawn attention to the link between how students feel about mathematics and how well they perform in it. Attitude and achievement travel together. When you change the first, you give the second room to grow.

So the first move is not a new worksheet. It is a conversation. Shreya stresses investing time in emotional connection and individual communication with disengaged students to understand where their resistance comes from. Some students are anxious after years of feeling behind. Some are bored because the work is too easy. Some simply cannot see the point. Each needs a different response, and you only find out which by asking.

• Ask, don't assume. A two-minute chat after class often tells you more than a term of test scores.
• Name the feeling. "A lot of people find this topic frustrating at first" lowers the stakes immediately.
• Lead with the why. Before the formula, show the situation where someone actually needs it.

From Lecture Halls to School Desks: Adapting to Different Learner Maturities

Shreya began her career teaching adult learners in higher education. Then she moved to tenth grade. The shift, she explained, forced her to rethink what her job actually was.

With college students, subject expertise carried most of the weight. Adults arrive with their own motivation. They sit through a lecture because they chose the course. Fifteen-year-olds are different. They bring emotions, friendships, moods and the full weight of adolescence into the room. Expertise alone does not hold their attention.

For Shreya, secondary classrooms demand deliberate behavioural management over pure lecture delivery. She had to learn to understand adolescent emotions and to establish classroom control through personal connection rather than authority alone. That is a skill most subject degrees never teach.

"When a bond is created between a teacher and a student, the learning happens." (Shreya Muthamma K.S.)

Research on the adolescent brain supports what she found in practice. Work published in Frontiers in Psychiatry adds to a broad body of evidence that adolescence is a period of significant emotional and social development. Teenagers are wired to care deeply about belonging and how they are seen. A teacher who ignores that is working against biology. A teacher who works with it gains a powerful ally.

If you have made a similar move, or you teach across age groups in the same week, it helps to adjust deliberately rather than by instinct. The comparison below summarises the shift Shreya describes.

Hear Shreya describe this transition, and the strategies that followed, in her own words in the full conversation below. It is worth watching for the classroom examples alone.

For a deeper set of routines that build exactly this kind of calm, connected room, our guide to classroom management strategies that actually work is a practical next read.

Connecting Abstract Math Concepts to Practical, Everyday Life

Real world math teaching is not about decorating a worksheet with a picture of a shop. It is about changing the order of the lesson. The situation comes first. The mathematics arrives as the tool that solves it.

Shreya's practical takeaway is clear: explain the real-world utility of a topic before diving into abstract formulas and calculations. She also stresses connecting topics to students' own interests. A student who loves cricket and a student who loves fashion design can both meet the same concept through very different doors.

Here is what that reordering can look like across common secondary topics. These examples are suggestions you can adapt, not a fixed script.

Notice what changes. In the right-hand column, students have a question before they have a method. The method becomes something they want, not something imposed on them.

Three habits make this sustainable without doubling your planning time:

• Keep a context bank. Each time a student mentions a hobby, a family business or a news story, note it. Over a term, you build a library of hooks drawn from your actual class.
• Use one strong hook, not five weak ones. A single well-chosen situation that runs through the lesson beats a scatter of loosely related examples.
• Return to the hook at the end. Close by solving the original question. That loop is what makes the purpose stick.

If you want a lesson structure built around this kind of curiosity-first sequence, the 5E lesson plan model fits naturally. Its Engage and Explore phases are exactly where real-world framing does its best work.

Designing Lesson Starters: Using Movement and Energizers in Geometry

Think about what a class looks like straight after lunch or a games period. Bodies are restless. Minds are elsewhere. Starting with "open your books to page 84" asks for a level of focus most students simply do not have yet.

Shreya's answer is to begin lessons with kinesthetic or music-based energizers that help students transition into focused learning after breaks. The energizer is not a distraction from the lesson. It is the bridge into it.

The best energizers do double duty. They settle the room and they prepare the ground for the concept that follows. In geometry, that is especially easy, because so much of the subject lives in the body. Arms can make angles. Feet can trace shapes. A whole class can become a coordinate grid.

A few ideas you can try, built in the spirit of what Shreya describes:

• Angle arms. Call out "right angle," "straight line," "acute," "obtuse," and students show each with their arms. Speed it up. Add music. Within two minutes, the room is awake and thinking about angles.
• Turn and face. Students stand and turn a quarter, a half, or a full rotation on your signal. This sets up degrees of rotation without a single definition.
• Human shapes. Small groups form triangles, squares or parallelograms using their bodies, then explain what makes their shape correct.

Keep the rules simple and the time short. Two to four minutes is usually enough. The goal is to shift energy, not to spend it all.

There is research interest behind this instinct too. Work published in npj Science of Learning sits within a growing field that examines how the brain learns and what conditions support attention and memory. While no single starter guarantees results, the principle holds: students learn better when they arrive at the lesson ready to engage, and movement is one of the most reliable ways to get them there.

One caution. Energizers work when they feel like part of the lesson rather than a reward or a break. Link each one explicitly: "You just made a right angle with your arms. Today we are going to find out what happens when two angles together make that shape."

Discovery Learning in Action: Teaching Angles Through Hands-on Collaboration

This is where Shreya's approach becomes most concrete. To introduce complementary and supplementary angles, she does not start with definitions. She starts with a movement energizer, then moves into a collaborative activity using angle cut-outs.

Students work in groups with paper angles of different sizes. Their task is to match pieces together. As they experiment, patterns emerge. Some pairs fit together to form a right angle. Others combine to form a straight line. Students observe these patterns and derive the degree rules on their own before she gives the formal definitions.

That sequence is the heart of inductive teaching. Observation comes first. The rule comes from the students. The formal vocabulary arrives last, as a name for something they already understand.

Here is how you might structure a similar lesson:

1. Energize (3 minutes). Angle arms or a turning activity to wake the room and prime the idea of angles.
2. Distribute (2 minutes). Give each group a set of paper angle cut-outs, each labelled with its degree measure.
3. Explore (10 minutes). Ask groups to find pairs that fit together neatly to make a corner, and pairs that make a flat line.
4. Notice (5 minutes). Groups add up the degrees in their matching pairs. What do they see?
5. Name (5 minutes). Only now introduce the terms: pairs that total 90 degrees are complementary, pairs that total 180 are supplementary.
6. Apply (10 minutes). Students solve problems, and link back to real examples like a door against a wall or a straight road.

Why does this work better than writing the rule on the board? Because a student who discovers that two angles make 90 degrees owns that fact. It is not something they were told. It is something they found. Memory follows ownership.

This approach also reflects one of Shreya's broader points: differentiated instruction must cater to diverse learning styles rather than one-size-fits-all teaching. The cut-out activity gives visual learners something to see, kinesthetic learners something to handle, and auditory learners a group discussion to follow. One activity, many entry points.

To check whether the discovery actually landed, quick formative checks help. Our collection of 25 classroom assessment techniques includes several that take under a minute and fit neatly at the end of an inductive lesson.

Beyond the Blackboard: Transitioning from Traditional Theory to Applied Pedagogy

For generations, mathematics teaching followed a familiar shape. The teacher explains at the board. Students copy. Students practise. Repeat. That model still has its place, especially for modelling a worked example clearly. But Shreya argues it can no longer be the whole lesson.

Modern classrooms, she says, require accommodating visual, kinesthetic and auditory learners through a range of mediums: hands-on tasks, targeted videos, collaborative work. Whole-class chalkboard lectures alone leave too many students behind.

It is worth being precise about what this shift means. It does not mean abandoning direct instruction. It means using it on purpose, for the right moments, alongside other methods. A well-balanced lesson might look like this:

• Direct explanation for introducing notation, modelling a method, or correcting a common misconception.
• Hands-on activity for building intuition about shape, size, quantity and pattern.
• Short targeted video for a visual demonstration that students can rewatch at their own pace.
• Collaborative problem-solving for applying the concept and explaining reasoning aloud.
• Independent practice for consolidating the skill once understanding is in place.

Technology can strengthen this mix when used with intent. A short animation of rotating angles, a dynamic geometry tool, or a quick digital poll can each add something the board cannot. But remember the RAND finding from earlier: the students most likely to disengage asked for fewer online activities, not more. Technology serves the lesson. It does not replace the human work of connecting mathematics to life.

This move from theory to applied pedagogy is also part of a wider shift in how schools think about learning. If you are curious about how outcomes-focused teaching changes planning and assessment, our explainer on competency-based education connects these ideas to whole-school practice.

Navigating Diverse Classrooms: Comparing Indian and UAE Educational Settings

Shreya's career has taken her through very different school contexts, and she is honest that each brings its own challenges. A strategy that works beautifully in one room may need real adjustment in another.

In rural Indian classrooms, she points to hurdles with technological connectivity and low parental involvement. A lesson plan that depends on a stable internet connection or homework support at home can fall apart quickly. Teachers in these settings often become the main, and sometimes only, academic support a child has.

In international UAE classrooms, the challenge shifts. Students come from many nationalities, languages and cultural backgrounds. The teacher's task expands to include building cohesive group dynamics among learners who may share very little at the start, while maintaining strict cultural neutrality.

Here is the encouraging part. The core of Shreya's approach travels across both settings. Paper angle cut-outs need no Wi-Fi. Movement energizers need no budget. Real-world framing works anywhere, as long as the world you reference is the one your students actually live in.

For the rural classroom, that might mean measuring a field or calculating market profits. For the international classroom, it might mean comparing currency conversions or flight times. The method stays the same. The context changes.

OECD research on education systems consistently highlights how much context shapes student learning, from resources at home to the wider school environment. Recognising that is not an excuse for lower expectations. It is the starting point for teaching that meets students where they are.

If teaching in an international setting is part of your own plans, our guide to international teaching careers for Indian teachers covers what changes when you make the move.

Managing Geopolitical and Cultural Sensitivities Among International Students

Some of the hardest moments in an international classroom have nothing to do with mathematics. A news story reaches the playground. Students from different countries take sides. A disagreement that started outside school walks straight into your lesson.

Shreya's guidance here is firm: maintain strict neutrality as an educator when students bring multicultural or geopolitical disputes into the room, and guide them toward mutual understanding. Your role is not to settle the argument. It is to protect the classroom as a place where every student belongs.

That is harder than it sounds. Teachers have views too. But a student who senses that their teacher favours one side may stop feeling safe, and a student who does not feel safe does not learn. Neutrality is not indifference. It is a form of care for every student at once.

Practical habits that support this:

• Respond calmly and privately where possible. Public confrontation tends to harden positions. A quiet conversation with the students involved usually lowers the temperature.
• Focus on behaviour, not belief. You can set clear expectations about respect without ruling on who is right about a wider conflict.
• Return to shared ground. In a mathematics room, that shared ground is the work itself. Collaborative tasks in mixed groups remind students that they can solve problems together.
• Choose examples carefully. Real-world contexts should be culturally neutral. Avoid word problems that touch on contested borders, politics or sensitive national comparisons.
• Involve families when needed. Parental involvement, which Shreya stresses throughout, can help resolve tensions that started outside school.

This is where her point about relationships becomes essential. A teacher who has already built a bond with each student has the trust needed to handle these moments well. A teacher meeting conflict without that foundation has far less to work with.

Why Continuous Upskilling Is Essential for Modern Educators

Everything in this article, from energizers to discovery lessons to cultural neutrality, is a teaching skill. Not a subject skill. And here is the uncomfortable truth many teachers recognise: most of us were never formally trained in these things.

Shreya speaks to this directly. Traditional B.Ed degrees, she notes, often emphasise theoretical foundations. They teach you about education. Practical programmes, she explains, equip teachers with concrete tools for behaviour management, classroom dynamics and student engagement. She points to the Professional Graduate Certificate in Teaching and Learning (PgCTL) as an example of training that bridges that gap between theory and what actually happens when thirty teenagers walk through the door.

Her wider takeaway is that teachers should pursue continuous professional development that focuses on active pedagogy, classroom dynamics and the integration of educational technology. Not one qualification and done. A habit of growth across a career.

The research base agrees that how professional development is designed matters. Work from the Learning Policy Institute, indexed on ERIC, adds to evidence that development rooted in real classroom practice tends to make more difference than one-off sessions disconnected from teachers' daily work. That is the distinction Shreya draws between theory and applied pedagogy.

If you are weighing your own next step, these guides can help you think it through clearly:

• B.Ed vs PgCTL: which teaching qualification fits your goals
• CPD for teachers: what counts, what doesn't, and how to plan your year

Shreya is also clear that growth rewards those who keep investing in themselves.

"The more passionate you are, you will get the opportunity, you will bag it." (Shreya Muthamma K.S.)

And she reminds us why the work is worth it. Teaching mathematics is never only about mathematics. It means preparing students for quizzes, cultural events, and everything else school asks of them. It is a full, demanding, deeply meaningful profession.

Bringing It Together: A Real World Math Teaching Checklist

If you take one thing from Shreya's experience, let it be this: engagement in mathematics is built, not hoped for. It comes from a sequence of deliberate choices. Here is that sequence as a checklist you can use when planning your next lesson.

1. Purpose first. Can you name, in one sentence, where students will meet this concept in real life?
2. Know your students. Have you spoken individually with the students who seem most disengaged?
3. Start with energy. Does the lesson open with a short starter that settles the room and primes the concept?
4. Let them discover. Is there a moment where students observe a pattern before you name the rule?
5. Vary the medium. Do visual, kinesthetic and auditory learners each have a way in?
6. Fit the context. Do your examples reflect your students' actual world, whether that is a village market or a multinational classroom?
7. Protect belonging. Are your examples culturally neutral, and are you ready to respond calmly if tensions arise?
8. Close the loop. Does the lesson end by returning to the real-world question it started with?
9. Keep growing. What is one new teaching skill you will practise this term?

None of this requires a new budget or a new building. It requires a teacher willing to rethink the order of a lesson and invest in the relationships that make learning possible.

You already chose this profession with purpose. The next step is giving that purpose the structure to grow. We built Suraasa to walk beside teachers through exactly that journey, from the first classroom to wherever your career goes next. You won't walk it alone.

For the Love of Teaching.