Intentional lessons in maths worded problem solving: using practical classroom approaches

Intentional lessons in maths word problem solving: using practical classroom approaches

3-4 minute read 

There’s no doubt that problem solving is central to mathematics, but its pedagogical value is amplified when teachers deliver intentional instruction.

Intentional teaching is not casual inquiry; it’s purposeful modelling of strategies, carefully designed scaffolds, and explicit metacognitive talk that guides students from supported practice to independent problem-solving.

What the research tells us

Research on inquiry-based and scaffolded approaches shows intentional teaching brings clear benefits. For example, inquiry-oriented professional literature (Beswick, 2021) and recent models for scaffolding problem solving (DP model literature) confirm that when teachers explicitly teach strategies and plan fadeable supports, students show improved transfer and confidence in tackling non-routine problems.

How can I strengthen intentional teaching in my classroom? 

Knowing the theory is one thing, but putting abstract complexities to use in your classroom can feel overwhelming. It doesn’t need to be!

A few simple methods for making your maths worded problem lessons more intentional may include: 

• Modelling your thinking aloud. When you solve a problem, narrate decision points: “I’ll re-read to see what’s being asked, then I’ll underline numbers that matter.” Modelling signals process over speed.
• Designing tasks with clear cognitive demand. Use tasks that have a clear learning goal (e.g., interpreting the question structure, representing relations) and multiple access points. Low-floor/high-ceiling tasks let every child participate but still stretch higher thinkers.
• Scaffolding strategically. Offer supports targeted to your students’ needs: worked examples for novices, heuristic prompts for emerging solvers, and open challenges for extensions. Scaffolding should be gradually withdrawn.
• Using purposeful questioning. Ask “Why did you choose that method?” or “How could you check that?” Questions should push reasoning, not just retrieval.
• Making assessment formative and diagnostic. Use observations of strategy choice and reasoning to guide next teaching steps – not just correctness.

The theory in practice

Taking the above practical methods into account, here’s what a classroom sequence of an intentional lesson on worded maths problems could look like:

• Hook/context: provide a short real-world scenario to grab students’ interest.
• Model: you as the teacher thinks aloud solving a similar problem.
• Guided practice: students attempt a related problem with prompts.
• Collaborative practice: students work in pairs explaining their steps.
• Independent task and reflection: Students solve a variant and write or discuss the strategy used.

Classroom culture matters

Intentional teaching thrives in classrooms where struggle is normalised and strategy-sharing is celebrated. Create routines: a “strategy wall,” sentence starters for explanations, and weekly “method swap” sessions where students present alternative approaches. Over time, students internalise the metacognitive routines you model and become independent, flexible problem solvers.

References

Beswick, K. (2021). Inquiry-based approaches to mathematics learning, teaching, and mathematics education research. Journal of Mathematics Teacher Education, 24, 123–126. doi.org/10.1007/s10857-021-09494-4

Tay, Y. & Toh, T-L. (2023). A model for scaffolding mathematical problem-solving: From theory to practice. Contemporary Mathematics and Science Education. 4. ep23019. DOI:10.30935/conmaths/13308 

Classroom tip

You may love the idea of including your students’ interests in worded maths questions each week, but your already heavy load as a teacher makes it hard. You need to find the time, the focus and the headspace to prepare them. And that’s where Matharoo can help. 

Matharoo produces fresh-weekly worded problem sheets for primary school-aged learners featuring questions drawn from last week’s current events, pop culture and sports news stories. They’re written specifically to be of interest to primary school-aged kids, ready-to-go. And written by qualified educators, Matharoo is curriculum-aligned so will be the perfect supplement to your existing lesson plan.  

Kids love Matharoo, teachers say it’s a weekly delight, and parents say they notice the difference in their kids’ attitudes to maths. Matharoo brings real-world relevance to maths, making it meaningful and fun for young learners.  

Watch as maths comes alive for your students. Join the Matharoo crew.