# Change the Game in Math Education: The 8-Step Method to Transform Your Math Lessons!

Teaching in mathematics classrooms is continually evolving, increasingly incorporating experiential and interactive learning elements. One such progressive approach is the integration of math games into our lesson plans. We will explore how math games can fit seamlessly into a modern, effective teaching framework, making learning more engaging, fun, and productive for elementary and middle school students.

## Step 1: Define the Learning Objective

Before you begin any lesson, the first crucial step is to identify and clearly define the learning objective. The learning objective is the bedrock of your lesson and provides a roadmap for your instruction. It answers the question, “What should students know or be able to do by the end of this lesson?”

In the context of mathematics teaching, a learning objective could be as specific as “Students will be able to add and subtract fractions with like denominators” or as broad as “Students will understand the concept of algebraic expressions.”

When aligning a math game with your lesson plan, you’ll need to select one that directly supports the learning objective. For example, if your objective is to teach students about addition and subtraction of fractions, you might choose a game that involves solving fraction problems under time pressure.

However, the game isn’t merely a time-filler or an afterthought. It’s an integral part of your instruction, meant to reinforce the lesson’s objective and help students solidify their understanding through a hands-on, interactive experience. Remember, the game should not introduce entirely new concepts or diverge from the main objective; it should be a tool that supports and enhances the lesson’s goal.

Additionally, when defining your learning objective, consider following the SMART framework, ensuring your objective is Specific, Measurable, Achievable, Relevant, and Time-bound. For example, instead of having a broad goal like “Students will improve in math,” aim for a SMART objective like “By the end of this two-week unit, students will be able to accurately solve algebraic equations involving one variable, as measured by scoring at least 80% on the end-of-unit assessment.”

Taking the time to clearly define and articulate the learning objective will not only help guide your lesson planning and game selection, but it will also provide your students with a clear understanding of what they’re expected to learn, which can greatly enhance their motivation and engagement.

## Step 2: Tailor the Game Level to the Learners

Adjusting the game to match the students’ skill levels is crucial to ensure the games challenge and engage them appropriately. Familiarity with your students’ abilities allows you to adapt the game rules to suit their learning needs. A variety of math games exist, many of which offer adaptation recommendations for different skill levels, making this step easier for the educator.

To make the most of a math game in your lesson, it’s crucial to tailor the game to your students’ ability level. This involves understanding where your students are in their mathematical journey and selecting or adapting a game that challenges them appropriately.

Here are a few key elements to consider:

1. Assess Student Abilities: Start by gauging your students’ current level of understanding related to the lesson objective. This could be done through formal assessments, like quizzes or tests, or informal methods, like observation or class discussion.
2. Choose Suitable Games: Based on your assessment, choose games that complement your students’ proficiency level. If you’re teaching fractions to a class that has a solid understanding of whole numbers, a game that integrates both whole numbers and fractions could be an appropriate choice.
3. Adapt Game Rules: Games often have flexible rules that can be adjusted to better suit your students’ abilities. For instance, if a game involves solving complex multiplication problems and you’re teaching students who are just starting with multiplication, you could modify the game to include simpler multiplication problems.
4. Differentiate Instruction: In any classroom, you’re likely to find a range of abilities. Differentiating instruction means modifying the game or the rules for students who may find the task too challenging or not challenging enough. For example, you might offer simpler problems or extra support for struggling students, while providing more complex problems to those who need an additional challenge.
5. Use Gradual Release of Responsibility Model: Initially, you might want to play the game as a whole class, modeling thinking and demonstrating strategies. As students become more comfortable, they can play in small groups or pairs, and eventually independently. This gradual release of responsibility gives students the support they need early on, while ultimately promoting independent problem-solving.

Tailoring the game level to your students ensures that all learners are engaged and challenged, not overwhelmed or bored. In doing this, you’re not only making the lesson more engaging but also more effective, as students are more likely to grasp and retain concepts when they’re learning at a level appropriate to their current skills and understanding.

## Step 3: Capturing Students’ Attention

The lesson’s beginning should capture students’ attention and ignite their curiosity. This is where you can harness creativity. You might present an intriguing math problem or introduce the selected game. Whichever path you choose, make sure it’s exciting enough to pique your students’ curiosity.

The initial stage of your lesson, often referred to as the “hook,” is designed to captivate students’ attention and spark their interest. This is a crucial step because it sets the tone for the entire lesson.

Here’s how you can effectively capture your students’ attention in the context of a math lesson:

1. Introduce an Intriguing Problem: You can start the lesson by presenting an engaging math problem that is connected to the day’s objective and the game you’ll be using. This could be a real-world problem that students can relate to, a puzzle that needs solving, or a challenge that triggers their curiosity.
2. Demonstrate the Relevance: Make an explicit connection between the lesson’s objective and real-world situations. For instance, if you’re teaching fractions, you could talk about how fractions are used in cooking, construction, and time management. Demonstrating the relevance can help students see the importance and usefulness of what they’re about to learn.
3. Present the Game: Another strategy is to start the lesson by introducing the game. Show the game to the students, explain how it’s played, and talk about the mathematical skills or concepts it reinforces. The prospect of playing a game can be very motivating for students and is likely to grab their attention right from the start.
4. Use Multimedia: Depending on the game and the lesson’s objective, you could also use videos, animations, or interactive digital tools at the beginning of the lesson to make it more engaging and stimulating.
5. Start with a Question: Open the lesson with a thought-provoking question related to the lesson’s objective. This can encourage students to start thinking critically about the topic before the lesson even begins.
6. Connect to Prior Knowledge: Build on what students already know or have learned in previous lessons. Making connections between new and prior knowledge can make the learning more meaningful and can help students see the bigger picture.

Remember, the primary goal here is to pique your students’ curiosity and make them eager to participate in the lesson. By grabbing their attention from the beginning, you’re setting the stage for a successful and engaging learning experience.

## Step 4: Communicate the Learning Objective

After grabbing your students’ attention, it’s time to articulate your lesson objective clearly. Introduce the mathematical vocabulary, concepts, and skills that will be learned or reinforced through the game, prepping them to actively participate in the gameplay.

Now that you’ve grabbed your students’ attention, it’s essential to communicate clearly what they will be learning in the lesson. This step provides students with a clear understanding of the lesson’s goals and expectations. Here’s how to do it effectively:

1. State the Objective Clearly: Clearly state what students are expected to learn by the end of the lesson. This could be understanding a new concept, improving a specific skill, or applying knowledge in a new way. Use student-friendly language, and ensure the objective aligns with the overall curriculum goals and standards.
2. Explain the Relevance: Tell students why the objective is important. How will it help them in their everyday lives, in understanding the world around them, or in their future math studies? Understanding the relevance can increase students’ motivation and engagement.
3. Connect to the Game: Highlight how the game you’ll be playing fits into the lesson’s objective. Explain the mathematical concepts or skills the game reinforces or illustrates. For instance, if the objective is to understand the properties of multiplication, and the game involves lots of multiplication actions, make that connection explicit.
4. Introduce Key Vocabulary: Introduce any new terminology or notation they will need to understand and apply during the lesson and the game. For instance, if the game involves fractions, ensure students understand terms like ‘numerator’, ‘denominator’, ‘equivalent fractions’, etc.
5. Outline the Lesson Structure: Briefly explain what students can expect from the lesson. How will the lesson progress? When will they get to play the game? How does the game fit into the lesson? What will they do after the game? This provides a roadmap for the lesson and sets clear expectations.
6. Involve Students: Engage students in a discussion about the objective. Ask them what they think it means, why they think it’s important, and how they think they’ll achieve it. This can help ensure that students understand the objective and are mentally prepared to work towards it.

By clearly communicating the learning objective, you’re helping students understand what’s expected of them and why. This transparency can enhance students’ motivation, focus, and self-direction, all of which are critical for effective learning.

## Step 5: Model or Demonstrate the Game

If the game requires specific instructions or strategies, take time to demonstrate or model how it is played. This ensures students understand the game’s mechanics before engaging in it themselves.

Once you’ve clearly communicated the learning objective, it’s time to demonstrate how the chosen game aligns with the lesson’s goal. This is your opportunity to model the desired behaviors, thought processes, and problem-solving skills that students will need to apply when they play the game themselves. Here’s how you can approach this step effectively:

1. Explain the Game Rules: Clearly explain how the game is played. Break down the rules into manageable steps, and ensure students understand each one before moving on to the next. If possible, provide written rules for students to refer to as they play.
2. Model Gameplay: Demonstrate a round or two of the game in front of the class. As you play, verbalize your thought processes to model how to approach the problems or challenges within the game. Show students how to apply the math skills or concepts that the game is meant to reinforce.
3. Emphasize Learning Connections: As you model the game, repeatedly highlight how the actions in the game relate to the lesson’s objective. For instance, if the objective is to understand the properties of addition and the game involves lots of adding, make this connection explicit.
4. Model Strategies: In addition to demonstrating how to play the game, model strategies that can lead to success. These might include problem-solving strategies, collaboration techniques (if it’s a group game), or methods for keeping track of one’s progress or score.
5. Illustrate Mistakes and How to Handle Them: It can also be beneficial to model what to do when a mistake is made during the game. This can teach students that it’s okay to make mistakes, and it gives them strategies for learning from and correcting their errors.
6. Invite Questions and Clarifications: After demonstrating the game, invite students to ask questions or seek clarifications. This ensures that everyone understands how to play the game before they start playing themselves.

By modeling the game and making the connections to the lesson’s objective clear, you’re helping students see the value and purpose of the game. This, in turn, can enhance their engagement and learning when they play the game themselves.

## Step 6: Facilitate Guided Practice

To ensure active engagement, organize students into cooperative groups for game participation. Allow them to explore and learn independently, while you, as the teacher, provide guidance when needed. This fosters both independent and collaborative learning, crucial skills in the modern learning landscape.

After you’ve introduced the game and demonstrated how to play, it’s time to let your students play the game themselves. However, this shouldn’t be completely independent play – at least not yet. Instead, you should facilitate a phase of guided practice, during which students play the game while you circulate and provide support as needed.

1. Arrange Students in Groups: Depending on the nature of the game, you might arrange students in pairs, small groups, or even have them play individually. Try to create groupings that foster positive dynamics and equal participation. For example, you might group students of similar ability levels together, or you could use heterogeneous grouping to promote peer tutoring and collaboration.
2. Monitor Gameplay: As students start playing the game, circulate around the room to observe how they’re doing. Look for signs that they’re understanding and applying the math concepts correctly, and pay attention to their problem-solving strategies, their interaction with the game, and their collaboration with peers (if applicable).
3. Provide Scaffolding: If you notice a student or group struggling with a concept or not understanding how to play the game, step in to provide guidance. You might ask leading questions, provide hints, model the concept or strategy again, or even play a round with them.
4. Facilitate Reflection: Encourage students to reflect on their strategies and learning while they play. You could prompt this reflection by asking questions like “Why did you choose that move?”, “What could you do differently next time?”, or “How does this game help you understand [the lesson’s objective]?”
5. Encourage Collaboration and Discussion: If students are playing in groups, promote collaboration and discussion. Encourage students to explain their thinking to each other, discuss different strategies, and help each other understand the concepts.
6. Adjust Support as Needed: Remember, the goal of guided practice is to gradually release responsibility to the students. So, as students become more competent and confident with the game and the concepts, gradually reduce the level of support you provide. This encourages students to become independent learners and problem solvers.

Guided practice gives students an opportunity to apply what they’ve learned in a safe, supportive environment. By providing the right level of support and promoting reflection and collaboration, you can ensure that the game serves as an effective tool for reinforcing the lesson’s objective.

## Step 7: Facilitate Lesson Closure

Reflection provides students an opportunity to consolidate their learning. Encourage students to share their game experiences and the mathematical concepts they learned or reinforced. This process of reflection and sharing solidifies learning and allows you to assess their understanding.

The closure of the lesson is the time to consolidate learning and reinforce key concepts. This is when students summarize and articulate what they’ve learned, which can enhance their understanding and retention of the material. Here’s how to conduct an effective lesson closure in the context of a math lesson involving a game:

1. Ask Students to Summarize: Prompt students to express what they’ve learned from the lesson and the game. This could be a summary of the mathematical concept, an explanation of a strategy they found effective, or a reflection on how their understanding has evolved over the course of the lesson.
2. Use Exit Tickets: You can use exit tickets as a quick way to assess students’ understanding of the lesson’s objective. Ask students to write down one thing they learned or one question they still have about the lesson’s topic, and collect their responses as they leave the classroom.
3. Facilitate a Class Discussion: Lead a discussion about the lesson’s objective and the game. Encourage students to share their strategies, challenges, and successes. Ask questions that promote higher-order thinking, such as “Why do you think this strategy worked?” or “How does what we learned today connect to what we learned before?”
4. Review Key Concepts: Reinforce key concepts or skills by summarizing them yourself, or by asking students to do so. Highlight the connection between these concepts and the game, as well as their relevance to real-world situations or future math topics.
5. Set Up for Future Learning: Preview what’s coming next in the unit or curriculum. Explain how the skills or concepts learned in this lesson and through the game will be relevant or helpful for future lessons.
6. Appreciate Effort and Progress: Acknowledge students’ effort, progress, and achievements during the lesson. This can boost their confidence and motivation, and it encourages a growth mindset.

Remember, the goal of lesson closure is to solidify learning, assess understanding, and prepare students for future learning. By allowing students to articulate their understanding and by reinforcing key concepts, you’re helping to ensure that the lesson’s objective is achieved and remembered.

To reinforce the day’s learning, consider assigning a simpler game for homework. This encourages independent practice and the application of the concepts learned in class, fostering a self-driven learning environment.

Assigning independent practice, or homework, allows students to further consolidate their learning and develop proficiency with the skills or concepts covered in the lesson. When the lesson involves a game, there are a variety of ways you can extend this learning experience into students’ independent practice:

1. Send Home a Game: If the game you used in class is portable and simple enough, consider sending it home for students to play with their family members. This can be an engaging way for students to apply their learning in a new context, and it can foster positive family involvement in students’ learning.
2. Online Games: If physical games aren’t feasible, recommend online math games that align with the lesson’s objective. There are many quality, educational math games available online that can provide additional practice and reinforcement. Be sure to choose games that are safe, student-friendly, and aligned with your educational standards.
3. Game-Based Worksheets: Create or find worksheets that incorporate elements of gameplay, such as puzzles, riddles, or brainteasers. This can make the homework more engaging and fun, while still providing valuable practice.
4. Reflect on the Game: Ask students to write a reflection on their experience with the game. What strategies did they use? What did they learn? What did they find challenging or surprising? This encourages students to think more deeply about their learning and the strategies they used.
5. Design Their Own Game: Challenge students to design their own math game that reinforces the lesson’s objective. This task not only provides further consolidation of the math concept but also fosters creativity and critical thinking skills.
6. Scaffold and Differentiate Homework: Remember to differentiate homework tasks to cater to varying ability levels. While some students might be ready for more complex applications or extensions of the lesson’s objective, others might benefit from further practice with the basic concept.

Independent practice should reinforce the learning that took place during the lesson and further deepen students’ understanding. By thoughtfully integrating elements of gameplay into homework assignments, you can make independent practice more enjoyable and effective.

Integrating math games into your teaching framework can significantly enhance students’ understanding and enjoyment of mathematics. These games offer interactive and engaging ways to explore mathematical concepts, making learning more enjoyable and effective. As teachers, our role is to effectively utilize these games and tailor them to our students’ learning needs and levels, thereby maximizing their potential in mathematics.