Task, then Ask

Discover the power of interactive learning for elementary students in our latest blog post. Learn how the 'Task Then Ask' approach transforms traditional lessons into engaging experiences that cater to the unique needs of young learners. From hands-on activities and collaborative tasks to critical thinking exercises, explore how interactive learning ignites curiosity, boosts engagement, and lays the foundation for a lifelong love of education. Dive into real examples of interactive math lessons that capture students' attention and enhance their understanding. Unleash the potential of interactive learning to create a dynamic and enriching classroom environment for elementary students.

Introducing the Aubree Teaches Math Resource Vault

Are you on the lookout for a comprehensive collection of upper elementary math resources that will elevate your math instruction to new heights? Look no further! Get ready to embark on a math-filled adventure with the "Aubree Teaches Math Resource Vault" - a treasure trove of engaging and impactful materials for your classroom.

8 FLEXIBLE Place Value Games/ Activities

We all know that understanding place value is crucial for building a strong math foundation. But let's take it a step further. Instead of simply filling in digits, let's empower our students to become flexible thinkers, exploring the value of numbers and breaking them down in different ways.

Why does flexibility with place value matter? Well, imagine a world where students can tackle math problems with ease, analyze them from different angles, and discover efficient strategies. That's the power of flexible place value thinking!

Lions, Tigers, and WORD PROBLEMS - OH MY!

Mastering word problems has long been a challenge in mathematics education. Students often struggle to grasp the real-world context behind the calculations, leading to frustration and disengagement. But what if we approached word problems from a different perspective? In this blog post, we delve into strategies that unlock the power of comprehension, imagination, and storytelling to transform word problems into captivating stories.

Gone are the days of dry mathematical exercises. Instead, we encourage students to retell word problems using their own words, turning them into engaging narratives. By restating the problem, students actively engage with the scenario, ensuring a solid understanding of the story's elements. Personalizing the problem further deepens their connection, making it relatable and emotionally engaging.

Visual aids are another powerful tool in tackling word problems. By drawing, building models, or even acting out the problem situation, students can visualize abstract concepts and gain a tangible understanding of the problem at hand. This visualization lays a strong foundation for problem-solving and enhances comprehension.

In recognizing that students have diverse learning styles, we provide a variety of problem-solving approaches and strategies. From drawing to building models to acting out scenarios, students can explore and find the methods that work best for them. We celebrate this diversity and foster individualized learning experiences.

Instead of rushing for quick answers, we encourage students to embrace the process of thinking and problem-solving. By asking thought-provoking questions and guiding them towards the information they need, we stimulate critical thinking skills and develop their ability to analyze problems from different angles.

It's crucial to avoid relying solely on keywords or limiting strategies to a single approach. Research shows that true understanding of word problems stems from developing comprehension skills and connecting mathematical concepts to real-life situations. Our focus should be on nurturing students' ability to read, understand, and explain the story behind the problem, rather than solely on finding correct answers.

By shifting our perspective and treating word problems as a unique genre of reading, we empower students to tackle them with confidence and understanding. We equip them with essential skills for solving mathematical and real-life problems, igniting their curiosity and unleashing their imagination along the way. So let's embark on this journey of good thinking, where it's not just about the answers but about the rich and meaningful process of comprehension and problem-solving.

Are you ready to revolutionize the way your students approach word problems? Let's dive in and discover the transformative power of storytelling, visualization, and comprehension in the world of mathematics. Happy Math-ing!

Critical Thinking in Mathematics: Designing High Cognitive Demand Math Tasks

In the realm of education, it's not just about teaching students what to think but also how to think. By nurturing critical thinking skills, we empower our students to become active participants in their own learning journey. One area where these thinking skills truly shine is in mathematics. The ability to reason, problem-solve, and communicate effectively opens the doors to a deeper understanding of mathematical concepts.

So, how can we create an environment that fosters such thinking skills? One strategy lies in transforming traditional activities into thought-provoking experiences. By infusing open-ended exploration and rich problem-solving opportunities, we invite our students to dive into the depths of mathematical reasoning.

Take, for example, multiplication practice. While flashcards and worksheets have their place, they often focus on rote memorization. But what if we could elevate this practice into a thinking task? By presenting students with numerical patterns and challenging them to identify the underlying rules or equations, we encourage critical thinking and pattern recognition. This approach moves beyond memorization and engages students in active problem-solving, leading to a more profound understanding of multiplication concepts.

Even our youngest learners are capable of such high-level cognitive thinking. During my time with kindergartners, I introduced an activity that involved open equations and manipulatives. Their enthusiasm and ability to think deeply about mathematical concepts were astounding. It was a powerful reminder that given the opportunity, students can thrive and exceed our expectations.

In this blog post, we delve into the world of thinking tasks and explore how to design meaningful learning experiences that ignite students' cognitive abilities. Discover the power of transforming traditional activities, the role of open-ended exploration, and practical strategies to enhance mathematical reasoning in your classroom. Join us as we unlock the potential of your students' thinking skills and create a dynamic and engaging learning environment.

Supercharge Your Math Stations with Choice Boards

Imagine a math classroom where students eagerly dive into their assignments, choose activities that excite them, and collaborate with their peers to solve mathematical problems. This is the power of math choice boards. By providing students with a range of options and fostering a sense of ownership over their learning, choice boards transform the traditional math block into an engaging and personalized experience.

The benefits of using math choice boards are numerous. They promote student engagement and ownership, catering to diverse learning preferences and interests. With a mix of tech-based and paper activities, choice boards ensure differentiated learning opportunities that meet the unique needs of each student. Collaboration and communication thrive as students work together, share their solutions, and provide feedback to their peers. By incorporating deep-thinking tasks and utilizing platforms like Seesaw or Nearpod, choice boards encourage students to go beyond rote practice and delve into the intricacies of mathematical concepts.

Implementing math choice boards requires careful planning and clear expectations. Introduce the system to students, explaining the purpose and benefits, and guide them through the process of selecting and completing activities. Provide ample support and practice opportunities, modeling how to navigate the choice board and seek assistance when needed. Emphasize the importance of independent work and peer collaboration, fostering a classroom environment that promotes autonomy and active engagement.

As students grow accustomed to the choice board routine, you will witness increased independence, responsibility, and efficient use of instructional time. By empowering students to take ownership of their mathematical journey, choice boards pave the way for deeper understanding and a lifelong love of mathematics.

In this blog post, we explore the power of math choice boards, their practical implementation, and the transformative impact they can have on student learning. Join us as we embark on a journey to create a math classroom where students are actively engaged, empowered, and excited to explore the world of mathematics.

B.O.Y. Math Interviews/Diagnostic Assessments

As educators, we understand the importance of assessing students' early numeracy and math skills to support their growth. In this blog post, we delve into the benefits of conducting interviews or conferences with students as a powerful assessment tool. Discover how engaging in meaningful conversations and activities can provide valuable insights into students' mathematical thinking, problem-solving abilities, and overall proficiency. Explore practical strategies to implement this approach in your classroom and unlock the door to uncovering the mathematical minds of your students. Let's foster their growth and ignite their passion for mathematics through personalized assessment and instruction.

Fractional/Decimal Thinking

Fractional and decimal thinking is a fascinating aspect of mathematics education that holds increasing importance as students advance through upper elementary grades. It is a concept introduced early on in their mathematical journey, laying the foundation for more complex mathematical operations and problem-solving in the future. Understanding fractions and decimals is crucial for developing number sense, reasoning skills, and real-world application of mathematics. In this blog post, we will explore the fundamentals of fractional and decimal thinking, delve into practical strategies for teaching and learning these concepts, and highlight the significance of building a strong conceptual understanding. Join us on this exciting journey as we unlock the world of fractions and decimals, empowering students to confidently navigate mathematical landscapes with ease and precision.

Building a Conceptual Math Lesson

Let's explore the essential components of a well-designed math lesson! Discover how to structure your math lessons effectively to promote student understanding and engagement. Incorporating key elements such as practice with numeracy/number, high cognitive problem-solving, review, and content, you can create a comprehensive and engaging math learning experience.

Begin with a practice session focused on numeracy and number skills, including activities like counting, subitizing, and comparing. Engage students with quick warm-up games, dot images, or mystery number line challenges to develop their number sense and fluency. This warm-up should take about 5-7 minutes.

Next, delve into high cognitive problem-solving tasks that encourage students to apply strategies and share their problem-solving approaches. Consider incorporating a problem of the day or conducting a number talk session to foster critical thinking and collaboration among students. Allocate 10-15 minutes for this part of the lesson.

Ensure you dedicate a brief period for review, where you ask thought-provoking questions and encourage deep thinking. Although the focus is on helping students understand concepts, periodic review helps solidify learning. Keep this segment concise, taking less than 10 minutes.

Moving on to the content portion, focus on the current concept you want students to understand. Avoid excessive drilling and practice, instead providing opportunities for students to use and explore the skill within the context of meaningful tasks. Engage in guided practice, ask probing questions, and encourage student collaboration. Incorporate centers, stations, or independent practice time to reinforce learning. Rather than adopting a rigid "I do-we do-you do" approach, tap into students' innate mathematical thinking and utilize a "You try-we do-I connect" method. Give students the chance to solve problems, support each other, and guide their understanding through questioning and making connections. The duration of this segment will depend on your math block, but aim for no more than 15 minutes of whole-group instruction before transitioning to stations or small-group work for deeper understanding.

The Purpose of Math Activities

In this thought-provoking conversation, delve into the frustrations surrounding subtraction in math education. Discover the challenges that both students and teachers face when tackling double-digit subtraction. However, the author refuses to accept the notion that subtraction should be overwhelmingly frustrating and seeks a way to make it less daunting and more comprehensible. The article explores the purpose of math and math activities, emphasizing the importance of maintaining place value and avoiding disconnected steps. The author shares personal anecdotes about two visual approaches to subtraction—partial "sums" and difference between—and their success in fostering number sense and connectedness among students. Reflect on the value of computational thinking and explore the idea that getting the answer quickly may not always be the ultimate goal. Consider the significance of exploring number and place value through computation and the role of thinking in math education. Challenge the traditional algorithm and embrace strategies that encourage deep thinking and mathematical exploration.

Subtraction Strategies (Besides Traditional Algorithm)

Double-digit subtraction, a notorious challenge in early elementary math, often leaves both teachers and students frustrated. It's a unit that frequently elicits repeated mistakes, leading to frustration and math anxiety among learners. Recognizing the importance of maintaining place value and promoting critical thinking, I embarked on a mission to discover effective strategies for tackling this hurdle.

Place value is a foundational concept that requires significant developmental time for students to grasp fully, often extending into 5th grade. Therefore, any approach to double-digit subtraction should ensure that place value remains intact and is thoroughly explored.

Moreover, I sought strategies that would encourage deep thinking rather than mere step-following. Rote repetition of steps tends to breed frustration and fails to cultivate a genuine understanding of the underlying mathematical concepts.

Fortunately, I found two strategies that met these criteria and resonated with my students. These strategies not only maintained place value but also engaged students in meaningful thinking processes. As a result, my students not only grasped the concepts more effectively but also developed a genuine appreciation for and enjoyment of the subject matter

HELP! Long Division

When it comes to long division, it's important to address the frustrations and challenges that both students and teachers face. Many upper-grade teachers find that their students struggle with long division due to the overwhelming number of disconnected steps and a lack of number sense with larger numbers. To overcome these difficulties, it's crucial to break down the concept of long division into manageable parts and focus on building a deep understanding of the number system.

In reality, the need for long division in everyday life has diminished with the availability of calculators on our phones. Therefore, the emphasis should shift towards students understanding the process and developing logical problem-solving skills, rather than just memorizing procedures.

One of the essential prerequisite skills for tackling large division is a solid understanding of place value, including flexible place value. It is common for breakdowns to occur when students haven't grasped the concept of place value and its application to larger numbers. Students should be able to break down a large number into its parts using various flexible representations. Engaging learners in quick and interactive warm-up activities focused on flexible place value will help them develop the necessary skills to break numbers apart and manipulate them effectively.

The Importance of Math Manipulatives

Math manipulatives play a crucial role in enhancing students' understanding of mathematical concepts. While their kinesthetic, hands-on nature contributes to greater engagement and retention, there's more to their importance in math education. Manipulatives provide concrete representations of abstract mathematical ideas, allowing students to visualize and manipulate concepts, making them more tangible and accessible. By using manipulatives, students can explore mathematical relationships, make connections, and develop a deep conceptual understanding. These physical tools bridge the gap between the abstract symbols and real-world applications, enabling students to grasp mathematical concepts in a meaningful way. Incorporating manipulatives into math instruction helps students build a solid foundation and promotes a more profound comprehension of mathematical principles.

Teaching for Conceptual Understanding: Math

In a traditional math classroom, the focus is often on speed and accuracy in getting the right answers. Students are expected to perform well and may feel anxious about making mistakes or falling behind. This performative approach to math education can have detrimental effects on students' attitudes and perceptions of the subject.

Many students develop the belief that they are not "math people" because they struggle to meet the performance-based expectations. As they progress through school, the joy and curiosity they once had for math diminish, and they begin to dread word problems and complex mathematical tasks.

It's important to question the impact of this performative culture on our math students. Are we unintentionally instilling fear and anxiety in them? Are we fostering a fixed mindset that limits their growth and potential in mathematics?

By examining the logical progression of a traditional math class, we can identify the need for a shift in our approach. We must create an environment that values understanding, exploration, and problem-solving over speed and memorization. Math should be seen as a creative and flexible subject, where students can engage in deep thinking and develop mathematical reasoning skills.

It's time to reevaluate our practices and promote a growth mindset in mathematics education. Let's create classrooms that nurture a love for math, where students feel supported and empowered to embrace challenges, make mistakes, and develop a genuine understanding of mathematical concepts.

Multiplicative Thinking

Multiplication can be a challenging concept for teachers, students, and parents alike. Many struggle with the idea of memorizing multiplication facts without truly understanding the underlying principles. Instead of focusing solely on rote memorization, we can help students internalize multiplication through meaningful activities that foster multiplicative thinking.

To develop multiplicative thinking, students first need a strong foundation in early numeracy and additive thinking. Early numeracy involves recognizing and describing quantities, while additive thinking focuses on joining and separating numbers. Once students can see numbers as separate parts and as units, they are ready to think multiplicatively. Multiplicative thinking is akin to the concept of copy and paste on a computer—students can understand that a unit can be multiplied to create multiples. By starting with activities that reinforce doubling, students can begin to grasp the concept of multiplication and build a solid understanding of how numbers interact and multiply.