Teaching Primary Mathematics 4th Edition

Using Teaching Primary Mathematics for actual classroom work

I've been running through this textbook with a Year 4 cohort for about six years now, and the thing that trips people up isn't the content itself — it's the pacing. The 4th edition reorganised quite a few units compared to the 3rd, particularly around fractions and geometry, and if you're just following the book page by page without adjusting for your class, you will fall behind by October. My standard approach is to map the term out first, identify which chapters are concept-heavy versus drill-heavy, and then decide where to push hard and where to skim. The CPA (Concrete-Pictorial-Abstract) framework is still the backbone of every chapter. That hasn't changed since earlier editions. The shift in the 4th edition is more visible in the worked examples — they've moved away from single-step demonstrations toward multi-stage problems that require students to choose their own method. This is actually a good change, but it means your initial lesson on any new topic needs to spend more time on the concrete stage than the book might suggest. I typically add another 10 to 15 minutes of hands-on manipulation before moving to the pictorial drawings, because skipping that step is where most kids lose the thread. For instance, when we covered long multiplication using this edition, the textbook presents the area model alongside the standard algorithm within the same spread. Some teachers treat that as optional and just show the algorithm because it's faster. It's not faster if half the class doesn't understand why the algorithm works. I make them build the area model with base-ten blocks first, then draw it, and only then do I let them see the compact method. It adds maybe a week to the unit, but retention is dramatically better. The alternative is re-teaching the concept three months later when division by two-digit numbers comes up and they have no idea what they're doing.

One specific problem I ran into was with the place value chapters. The 4th edition introduces digit values using a new visual format with colour-coded columns, and a number of my students kept treating the colours as irrelevant decoration rather than as structural information. They'd solve a problem like comparing 45,203 and 4,598 correctly but then flounder on a slightly reworded version. The workaround was to strip away the colour and present the same problems in black and white until the structural pattern became the focus instead of the visual cue. It took two extra lessons but eliminated a whole category of careless errors. The mental math sections at the start of each chapter are genuinely useful if you use them consistently. I do them daily, five to seven minutes, and treat them as non-negotiable. The 4th edition expanded these significantly, which is a move in the right direction. The earlier editions had very thin mental math sections that felt like an afterthought. Still, don't rush through them. These are low-stakes but high-frequency exercises, and skipping them to save time for worksheet practice is a false economy. You'll lose fluency gains within a month.

What the book doesn't cover well

The word problem sections are generally solid, but they lean heavily toward routine, single-concept problems. Real-world problems that integrate multiple skills — say, a problem that requires both fraction addition and unit conversion — are rare. If your students need that kind of integrative practice, you'll need to supplement with your own materials or pull from past exam papers. I use a mix of past paper questions and my own constructed problems for the last two weeks before any major assessment. There's also a notable gap in differentiation support. The book assumes a fairly narrow ability range within each class. If you have students who are significantly ahead or behind, the built-in exercises won't stretch or scaffold them adequately. I keep a set of extension problems and remedial worksheets in a separate folder and swap them in as needed. It adds preparation time, roughly another hour per week, but it's necessary unless your class is unusually homogeneous. The answer key is adequate but not detailed. It gives you the final answer and sometimes one working step. For topics like algebra introductions or ratio problems, you may find yourself needing to trace through multiple solution paths to understand why a particular answer is correct. I've spent time working through several of these myself before teaching the chapter, because relying on the back-of-book answers alone leaves gaps in your own understanding of the common wrong turns students take.

A practical setup that works

Here's what my typical week looks like when running through a chapter: Monday is the introduction. I use the textbook's worked examples, but I always extend the concrete phase beyond what's shown. Tuesday is guided practice with the pictorial representations. Wednesday is independent practice from the textbook exercises, with the extension and remedial sheets ready. Thursday is mixed review — I pull problems from previous chapters to keep skills active. Friday is either a short quiz or a deeper problem-solving session, depending on how the week went. The textbook chapters are designed for roughly five to six lessons, but that pacing assumes a certain level of student familiarity with the material. In my experience, the realistic pace is closer to eight lessons per chapter for a standard class, and ten or more if the topic is abstract, like introductory algebra or decimals with mixed repeating patterns.

Supplementary resources that pair well with this edition include the companion workbook for additional drilling and some online manipulatives for the geometry sections. The textbook itself doesn't include QR codes or digital links, which is a deliberate choice by the publishers but means you'll need to source digital tools separately if your school environment relies on them. One final note on assessment alignment. If you're preparing students for national or international benchmark tests, cross-reference the textbook's coverage against the official syllabus beforehand. There are minor mismatches — the 4th edition covers certain statistical concepts in slightly different order than some testing bodies expect, and a couple of topics appear in the book but not on the exam specification, while a few specification items are underrepresented. I usually do a quick gap analysis at the start of each term to make sure nothing important is being missed.