Key takeaways
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Elementary math focuses on foundational skills and concepts to develop number sense, critical thinking, and conceptual understanding
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Identifying clear objectives and learning goals will help teachers determine which strategies to use
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Celebrating progress over perfection is a key way to build students’ courage and confidence in math
Helping students build a strong mathematical foundation is one of the most important responsibilities for any elementary teacher, but it doesn’t have to feel overwhelming. While most students benefit from personalized instruction, many effective teaching strategies can help all learners succeed in math. From creating purposeful lessons and activities to encouraging a growth mindset and celebrating progress, the strategies in our guide are intentional, engaging, and focused on making sure students truly understand (and enjoy!) learning elementary math.
What does elementary math typically focus on?
Elementary math focuses on a wide range of concepts and skills, starting with basic knowledge such as counting, cardinality, and shape identification, and progressing in complexity as children demonstrate understanding. In the early elementary years, students approach math concretely, using manipulatives (physical objects) and other learning tools before moving to visual representations and, eventually, to more abstract thinking and problem-solving.
Key focus areas include:
Number Sense
Number sense, the ability to understand numbers and how they work together, is an essential part of a child’s math development. Students with strong number sense can confidently explore numbers and develop efficient, flexible strategies for approaching and solving problems.
- Place Value
Developing number sense allows students to understand place value, that the value of a digit depends on its position (hundreds, tens, ones). Place value is the foundation of many mathematical concepts, including addition, subtraction, multiplication, and division. Understanding the value of a number is essential for solving problems accurately and applying math to real-world situations. When students understand that numbers mean something, they often become more active participants in their own learning.
Operations and Computational Fluency
Number sense and operations go hand in hand. While number sense is understanding what numbers mean, operations are the “action,” or computation performed on those numbers. In elementary math, students focus on developing fluency with math facts and calculations, as well as strategies to solve real-world problems.
Algebraic Thinking
Algebraic thinking in elementary school focuses on recognizing and identifying patterns, describing quantities and how they change, understanding mathematical rules, and working with unknown values in equations. Students begin to understand how to make generalizations by noticing patterns or representations and realizing that these patterns and representations work in many situations. Early algebraic thinking matters because it helps develop reasoning and problem-solving skills, encouraging students to think logically and move beyond simply finding the answer.
Geometry and Measurement
In elementary math, students focus on developing spatial reasoning, which is the ability to “see” and manipulate shapes in their minds. They recognize and classify 2D and 3D shapes and eventually learn to create more complex shapes from simpler ones. They also begin measuring angles and calculating perimeter and area, applying these skills to real-world situations and problems.
Data Analysis
Students learn to collect, sort, classify, represent, interpret, and present data using hands-on materials, simple graphs, or tally charts. Early on, students focus mostly on categorical data, which describes categories or groups, often based on similarities, such as “favorite sport,” “favorite subject,” or “favorite color.” Students eventually progress toward understanding data by noticing patterns, comparing quantities, or finding totals.
10 Effective Strategies for Teaching Elementary Math
1. Conceptual Understanding First
Making sure that your students truly understand a concept is the most important part of teaching elementary math. Conceptual understanding is not a separate math lesson; rather, it is incorporated into lessons from the very beginning and is the foundation for all effective teaching strategies. Students develop understanding through hands-on exploration, visual models, discussion, reflection, and connecting math to daily life. Teachers should allow students to solve problems in different ways so they understand that math is about reasoning, flexible thinking, patterns, and relationships between numbers.
2. Purposeful Lesson Planning
When you are designing strategies for your students, make sure to identify clear objectives and learning goals. What do you want your students to understand and be able to do? This will inform the rest of your strategies and ensure that your math lesson is purposeful, effective, and focused.
3. Clear Instruction, Modeling, and Guided Practice
With direct instruction, the teacher explains the concept step-by-step. Then, they model the skill and demonstrate how to do the work. Next, guided practice allows students to try the activity with the teacher’s support and feedback, building the confidence to work independently. These three steps are important because they provide a clear, structured way for students to receive instruction and demonstrate understanding before moving to independent work.
4. Differentiated Instruction
Every student is unique, and differentiated instruction allows teachers to adjust learning goals, activities, and assessments based on individual needs and learning styles. Simply put, there is no “one size fits all” approach to teaching elementary math. In fact, implementing effective strategies allows teachers to tailor lessons to their unique learners.
5. Meaningful Games and Activities
Games and hands-on activities encourage active learning, which increases engagement and motivation. Purposeful activities can also help simplify complex concepts, encourage deeper understanding, and develop problem-solving skills. For example, DreamBox Math, an interactive online math program, uses games and fun challenges to help reinforce math concepts.
6. Small Group and Partner Work
Small-group work allows students to actively discuss their ideas and listen to different approaches to solving a math problem or challenge. This discussion and collaboration also help students develop confidence in explaining their own mathematical process, which deepens their understanding. Teachers can also provide more individualized instruction, for example, by pulling a small group to reteach a concept or give students an extra challenge.
7. Formative Assessments
Formative assessments allow teachers to quickly gather information throughout the lesson to monitor student learning in real time. These assessments can also help identify misconceptions to correct before the lesson progresses. Examples of formative assessments include “think-pair-share,” where students discuss with a partner before sharing with the class; online polls or quizzes on an interactive learning platform; or exit tickets to find out what students understand and what questions they still have.
8. Connect Math to the Real World
Connecting math for elementary teachers to daily life is an essential teaching strategy because it allows students to see that numbers are everywhere! Hands-on activities like cooking, building, or even designing their “dream home” make learning new concepts exciting. Even the youngest students can connect math to the real world.
9. Provide Feedback
While teachers should always communicate with students’ parents or caregivers, providing direct, individual feedback to students themselves is an invaluable way to gauge how they feel about their math progress. Meeting one-on-one is also a great way to build relationships and show students that they are valued and respected.
10. Encourage a Growth Mindset
When students see mistakes as an important part of learning, it encourages grit and perseverance. When teachers celebrate effort and progress, rather than perfection, it encourages students to take educational risks and tackle challenging concepts.
