As teachers and parents, we want children to see math as a vital part of everyday life, and not just a collection of abstract lessons and equations.
This is why real-world problem-solving is a valuable tool in teaching mathematics to children—it helps them view math as a concrete idea, encourages the development of critical thinking skills, and boosts their confidence in math learning.
In this article, we’ll explore the benefits of incorporating real-world applications into math education, share effective teaching strategies, and provide examples of engaging math problems and activities that connect to students’ everyday experiences.
The Value of Real-World Applications in Math Learning
How we teach mathematics to children has far-reaching implications for not only their academic performance but also their long-term attitudes toward learning.
When math is taught without real-life context, children may find the subject dull or uninteresting, causing them to disengage from the material and lose the motivation to learn.
In fact, research shows that students understand math better when teachers make practical connections to everyday life. By making these associations, students can better understand how math works in the real world, gaining a clearer perspective on its practical applications and its impact on the world around them.
Students also retain math lessons more effectively when they study concepts through hands-on learning rooted in real-world connections. This approach helps make mathematics more relevant and memorable for students.
Furthermore, students can obtain a sense of achievement when they work on different real-world projects and activities in math lessons. This learning style also helps develop sharper critical thinking skills that children can transfer to other subjects and life beyond the classroom.
Examples of Real-World Math Problems
Let’s explore some practical examples of real-world math problems you can include in the classroom for children of different ages.
Ages 5-8
Take children on a scavenger hunt around school with clues related to shapes, numbers, and colours. For example, ask them to count the number of yellow flowers or rectangular tiles they see.
Concepts: Counting, pattern recognition.
Ages 9-11
Have your students measure the dimensions of a structure, such as a playground slide. Encourage them to explore the slide’s construction, including its height and slope. Then, challenge them to apply their findings to design their own playground or park structure.
Concepts: Geometry
Ages 12-14
Calculate a budget for an imaginary vacation with friends. Include a spending limit for travel, lodging, food, and activities. Ask students to scale the budget for bigger or smaller groups, and different locations based on real-time prices and currency exchange rates.
Concepts: Ratios and percentages, algebra, money
Ages 15-18
Apply real-world statistical findings to explore a range of data analysis methods. For instance, a student could study the performance statistics of their favourite sports player and establish patterns and trends to predict future performance.
Concept: Data analysis, algebra.
How to Incorporate Real-World Problems into Math Instruction
There are several strategies you can consider when incorporating real-world problems into math instruction.
- Interdisciplinary Project-Based Learning
This approach involves the intersection of math with other subjects like economics, history, or art. For instance, students can apply geometry and engineering to try building a miniature load-bearing bridge.
In history, students may analyse data from an era or notable event they find interesting. Additionally, they could plan a budget for starting an imaginary small business, or research famous artworks that incorporate mathematical principles.
Projects like these can give children a richer understanding of how math is relevant to many areas of life.
- Exploration Through Technology
Use digital resources like math software, apps, and simulation programmes to help your students visualise abstract concepts. Desmos Studio is an excellent tool for experimenting with graphing, geometry, and algebra, allowing students to see the effects of changing variables in real time.
Meanwhile, virtual labs let students explore real-world physics concepts, like examining the speed and distance of moving objects using mathematical models.
Interactive digital tools like these shift students from a more passive learning experience to an active, hands-on role in their math education.
- Examining Real-World Case Studies
Try to substitute generic names, locations, and situations in math problems with details that reflect students’ interests, local context, or real-life situations they might encounter. This will help keep students more motivated and interested in working out the answers.
For more advanced students, introduce math problems based on real-world case studies across industries like business, healthcare, sports, and more.
Applying mathematical concepts to a variety of real-world situations can expose students to the importance of math in solving practical problems.
The Long-Term Benefits of Real-World Math Education
Teaching math through real-world problem-solving equips children with practical skills to support their future careers and life decisions. Here are some advantages of learning math through real-world examples:
Boosting Retention and Understanding
When students work on math problems in real-world situations, it helps them identify the “why” behind different concepts and formulae. Rather than memorising a set of rules, children will be able to relate mathematical processes to their own lives, helping them retain what they’ve learned and setting the foundations for future learning.
Building Communication and Collaboration Skills
When working on real-world math scenarios, children could be asked to work in groups to solve problems or complete projects. These situations encourage teamwork and foster communication, which are vital to academic and professional settings in the future.
Developing Financial Literacy
Mathematics can be applied to real-world money matters like budgeting, saving, and calculating interest rates. When children are encouraged to explore their finances through math concepts, they can be better equipped to make informed and responsible decisions about money as they grow up.
When mathematics is taught through real-world applications, it becomes more engaging, accessible, and meaningful for children. Educators and parents can play a key role in using this approach to help students see the practical value of math, fostering a deeper appreciation for the subject.
Learn more about how Oodles can support you and your student’s math learning journey here.