The Most Effective Type of Guided Practice in Math

 

Guided practice in mathematics is crucial for developing deep conceptual understanding and procedural fluency. The most effective type of guided practice moves beyond rote memorization and encourages active engagement, critical thinking, and problem-solving.  

What are the key concepts of an effective guided practice?  They must be intentional.  Each practice activity should have a clear learning objective aligned with the core concept. They should be interactive so students are actively participating, discussing their thinking, while receiving immediate feedback. All  activities should be designed to meet the diverse needs of all learners, offering varying levels of support and challenge. Activities should be presented in a way that captures student interest and motivates them to learn.

What are some examples of effective guided practice strategies.  Think about using whiteboards.  Use interactive whiteboards or digital platforms to present problems and allow students to collaborate on solutions.  Incorporate features like annotation tools, real-time feedback, and the ability to share student work.  An example might take place during a  geometry lesson on angles, students can use interactive geometry software to manipulate shapes, measure angles, and explore relationships between different angles.  

In addition, consider having small group lessons with the teacher by dividing students into small groups to work on challenging problems or explore a specific concept.  Circulate among groups, providing support and guidance as needed. Encourage students to explain their reasoning and justify their solutions to each other. An example of this could be in an  algebra lesson on solving equations where students can work in groups to solve a series of increasingly complex equations, discussing their strategies and helping each other overcome challenges.

Consider using Think-Pair-Share with the whole class. Present a problem or question to students. Give them time to think individually about the problem. Then, have them pair up with a partner to discuss their ideas and share their thinking. Finally, facilitate a whole-class discussion to share different approaches and solutions. For example, in  a statistics lesson on data analysis, present students with a set of data and ask them to think about the best way to represent it graphically. Then, have them discuss their ideas with a partner before sharing their conclusions with the class.

What about creating effective worksheets and assignments? focus on conceptual understanding. Include questions that require students to explain their reasoning, justify their answers, and make connections between different concepts.  An example of this would be instead of simply asking students to solve a series of equations, ask them to explain the steps they took, identify any patterns they observed, and create their own word problems that could be represented by the equations.

Take time to vary the types of problems. Include a mix of problem types, such as multiple-choice, short-answer, open-ended, and real-world application problems. For example, in  a fractions lesson, include problems involving adding and subtracting fractions, comparing fractions, finding equivalent fractions, and solving word problems that involve fractions. Always use visual aids.  Incorporate diagrams, graphs, and other visual aids to help students visualize concepts and make connections.  In a geometry lesson on area and perimeter, provide students with diagrams of different shapes and ask them to calculate the area and perimeter of each shape.

Finally, provide opportunities for self-assessment and reflection. Include questions that ask students to reflect on their learning and identify any areas where they need further support. A good time might be after  completing a set of practice problems, ask students to identify the problems they found most challenging and explain why.

By implementing these strategies, educators can create a more engaging and effective learning environment where students can develop a deep and lasting understanding of mathematical concepts.  Let me know what you think, I'd love to hear.  Have a great day.

Guided Practice

Many teachers are facing the challenge of teaching either via distance or in a hybrid model which does not allow as much time for helping students individually as much as we did before.  I worry about being able to provide enough guided practice in class so my students really learn the material.

As any teacher knows, practice is needed for students to learn to do anything, be it sports or math.  It does not mean getting them to do it perfectly the first time because more learning goes on when they make mistakes and have to correct them.

Guided practice is a way to help students practice learning a new skill or old skill at their developmental level with increasing levels of difficulty. In class, it is easy to plan for guided practice but it is not as easy when you have less time with the students in class.  Normally, it would be possible to divide students up into groups to work but with Covid-19, it is not as easy.

Fortunately, there are some methods of guided practice we can use in this time of unique instruction.  One is called the "Gradual Release of Responsibility Method" which is also known as the "I do, We do, You do" model.  This method moves from teacher focused to student focused by transferring responsibility.

When the teacher models the action, it is the "I do" part.  With the teacher modeling, students get a chance to see the task and how it is done.  It introduces them to it.  It is suggested that teachers break the material into small, clear, steps by using some sort of visual chart to help students understand the process.  Include mnemonic and acronyms to help facilitate student recall while encouraging students to take notes of things they might have trouble remembering in the future.  Furthermore, it is important to give students time to ask questions at the end of each step for clarification and to allow them time to process.

The next step is the "We do" stage where it is done together.  I've done this stage by having students do the same process I modeled in the "I do" stage.  This can also be done by working in small groups or in pairs. In terms of zoom, it would be done via the use of breakout room but it is much harder with the 6 foot distancing which is why one can create worksheets with missing information that students fill in.  

In addition, one might ask what the next step is?  This helps students work on recall to move the information from short term to long term memory.  One might also ask students to debate whether a certain step is better than another such as would you divide by the number outside the parenthesis in a distributive property problem rather than multiplying?

The "You do" stage is actually divided into two parts.   In the first part the teacher is facilitating responsibility from herself to the students and in the second stage, students are given full responsibility for completing the problems.  In the first part, students are encouraged to complete as much of the task as possible with the teacher stepping in to gently guide the student towards completion. In this stage, teachers should ask students to explain what they've done and why they did it that way.  Students should be encouraged to ask questions when they stall and teachers should provide direction via open-ended questions, prompts, or nudges to help the student remember the next step.

In the final stage for "You do", the student is expected to complete a task from start to finish and be assigned a number of problems to complete to reinforce learning.  One can also have students do similar problems that have a small twist or are just a bit different to help with transference of material. 

Sometimes having group or pair work is difficult in class due to the coronavirus. I've found that if I create a worksheet with an example complete with explanation and then write the following problems so students fill in the missing material, it can do the same thing.  What I mean about following problems is that I might have two or three that are missing the final step so students have to write that in.  Then I might cut out the final two steps so students have to fill those in to complete the problem.  Eventually, the only thing students have is the problem it's self.  This has been especially helpful for students who struggle with math.  

Let me know what you think, I'd love to hear.  Have a great day.