Category: problems

  • Why new math problems won’t solve our nation’s math problem

    Why new math problems won’t solve our nation’s math problem

    eSchool News is counting down the 10 most-read stories of 2025. Story #4 focuses on making math instruction more relevant to students.

    Key points:

    How much longer will we keep trying to solve our nation’s dismal math proficiency problem by writing new math problems? Clearly, if that was the answer, it would have worked by now–but it hasn’t, as evidenced by decades of low proficiencies, historic declines post-COVID, and the widest outcome gaps in the world.

    The real question students are asking is, “When am I ever going to use this?” As a former math teacher, I learned that addressing this question head-on made all the difference. Students’ success in math wasn’t found in a book–it was found in how math applied to them, in its relevance to their future career plans. When math concepts were connected to real-world scenarios, they transformed from distant and abstract ideas into meaningful, tangible skills.

    My first-hand experience proved the premise of education innovator Dr. Bill Daggett’s “rigor-relevance-relationship” framework. If students know what they’re learning has real-life implications, meaning and purpose will ensure that they become more motivated and actively engaged in their learning.

    Years later, I founded the nonprofit Pathway2Careers with a commitment to use education research to inform good policy and effective practice. From that foundation, we set out on a path to develop a first-of-its-kind approach to math instruction that led with relevance through career-connected learning (CCL).

    In our initial pilot study in 2021, students overwhelmingly responded positively to the curriculum. After using our career-connected math lessons, 100 percent of students reported increased interest in learning math this way. Additionally, they expressed heightened curiosity about various career pathways–a significant shift in engagement.

    In a more comprehensive survey of 537 students spanning grades 7–11 (with the majority in grades 8 and 9) in 2023, the results reinforced this transformation. Students reported a measurable increase in motivation, with:

    • 48 percent expressing “much more” or “slightly more” interest in learning math
    • 52 percent showing greater curiosity about how math skills are applied in careers
    • 55 percent indicating newfound interest in specific career fields
    • 60 percent wanting to explore different career options
    • 54 percent expressing a stronger desire to learn how other skills translate to careers

    Educators also noted significant benefits. Teachers using the curriculum regularly–daily or weekly–overwhelmingly rated it as effective. Specifically, 86 percent indicated it was “very effective” or “somewhat effective” in increasing student engagement, and 73 percent highlighted improved understanding of math’s relevance to career applications. Other reported benefits included students’ increased interest in pursuing higher education and gaining awareness of various postsecondary options like certificates, associate degrees, and bachelor’s degrees.

    Building on these promising indicators of engagement, we analyzed students’ growth in learning as measured by Quantile assessments administered at the start and end of the academic year. The results exceeded expectations:

    • In Pre-Algebra, students surpassed the national average gain by 101 Quantiles (141Q vs. 40Q)
    • Algebra I students achieved more than triple the expected gains (110Q vs. 35Q)
    • Geometry learners outpaced the average by 90 Quantiles (125Q vs. 35Q)
    • Algebra II showed the most significant growth, with students outperforming the norm by 168 Quantiles (198Q vs. 30Q)

    These outcomes are a testament to the power of relevance in education. By embedding math concepts within real-world career contexts, we transformed abstract concepts into meaningful, tangible skills. Students not only mastered math content at unprecedented levels but also began to see the subject as a critical tool for their futures.

    What we found astounded even us, though we shouldn’t have been surprised, based on decades of research that indicated what would happen. Once we answered the question of when students would use this, their mastery of the math content took on purpose and meaning. Contextualizing math is the path forward for math instruction across the country.

    And there’s no time to waste. As a recent Urban Institute study indicated, students’ math proficiencies were even more significant than reading in positively impacting their later earning power. If we can change students’ attitudes about math, not just their math problems, the economic benefits to students, families, communities, and states will be profound.

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  • How to incorporate real-world connections into any subject area

    How to incorporate real-world connections into any subject area

    Key points:

    In my classroom, I frequently encounter students expressing their opinions: “How is this relevant to the real world?” or “Why should I care? I will never use this.” This highlights the need for educators to emphasize real-world applications across all subjects.

    As an educator, I consistently strive to illustrate the practical applications of geography beyond the classroom walls. By incorporating real-world experiences and addressing problems, I aim to engage students and encourage them to devise solutions to these challenges. For instance, when discussing natural resources in geography, I pose a thought-provoking question: “What is something you cannot live without?” As students investigate everyday items, I emphasize that most of these products originate from nature at some point, prompting a discussion on the “true cost” of these goods.

    Throughout the unit, I invite a guest speaker who shares insights about their job duties and provides information related to environmental issues. This interaction helps students connect the dots, understanding that the products they use have origins in distant places, such as the Amazon rainforest. Despite it being thousands of miles away, I challenge students to consider why they should care.

    As students engage in a simulation of the rainforest, they begin to comprehend the alarming reality of its destruction, driven by the increasing demand for precious resources such as medicines, fruits, and beef. By the conclusion of the unit, students will participate in a debate, utilizing their research skills to argue for or against deforestation, exploring its implications for resources and products in relation to their daily lives. This approach not only enhances their understanding of geography but also creates a real-world connection that fosters a sense of responsibility toward the environment.

    Creating a foundation to build upon

    Engaging in academic discussions and navigating through academic content is essential for fostering a critical thinking mentality among students. However, it is often observed that this learning does not progress to deeper levels of thought. Establishing a solid foundation is crucial before advancing toward more meaningful and complex ideas.

    For instance, in our geography unit on urban sprawl, we start by understanding the various components related to urban sprawl. As we delve into the topic, I emphasize the importance of connecting our lessons to the local community. I pose the question: How can we identify an issue within the town of Lexington and address it while ensuring we do not contribute to urban sprawl?  Without a comprehensive foundation, students struggle to elevate their thinking to more sophisticated levels. Therefore, it is imperative to build this groundwork to enable students to engage in higher-order thinking effectively.

    Interdisciplinary approaches

    Incorporating an interdisciplinary approach can significantly enrich the learning process for students. When students recognize the connections between different subjects, they gain a deeper appreciation for the relevance of their education. According to Moser et. al (2019), “Integrative teaching benefits middle-level learners as it potentially increases student engagement, motivation, and achievement. It provides learners with the opportunity to synthesize knowledge by exploring topics and ideas through multiple lenses.” This method emphasizes the importance of making meaningful connections that deepen students’ comprehension. As they engage with the content from different perspectives, students will apply their learning in real-world contexts.

    For instance, principles from science can be linked to literature they are studying in English class. Similarly, concepts from physics can be applied to understand advancements in medical studies. By fostering these connections, students are encouraged to think critically and appreciate the interrelated nature of knowledge.

    Incorporating technology within classrooms

    In today’s digital world, where technology is readily accessible, it is crucial for classroom learning to align with current technological trends and innovations. Educators who do not incorporate technology into their teaching practices are missing an opportunity to enhance student learning experiences. In my class, I have students explore their designated area using Google Earth, which we previously outlined. Each student selected a specific region to concentrate on during their analysis. This process involves identifying areas that require improvement and discussing how it can benefit the community. Additionally, we examine how these changes can help limit urban sprawl and reduce traffic congestion.

    We have moved beyond the era of relying solely on paper copies and worksheets; the focus now is on adapting to change and providing the best opportunities for students to express themselves and expand their knowledge. As Levin & Wadmany (2014) observe, “some teachers find that technology encourages greater student-centeredness, greater openness toward multiple perspectives on problems, and greater willingness to experiment in their teaching.” This highlights the necessity for teachers to evolve into facilitators of learning, acting as guides who support students taking ownership of their learning.

    Strategies for implementation

    1. Start with the “why”: Teachers should critically consider the significance of their instructional approaches: Why is this method or content essential for students’ learning? Having a clear vision of the desired learning outcomes enables educators plan effectively and what instructional strategies to use. This intentionality is crucial.

    2. Use authentic materials: Incorporating meaningful text that involves real-world concepts can significantly enhance students’ engagement. For instance, in social studies class discussing renewable energy can lead to academic discussion or projects where students research about local initiatives in their community.

    3. Promote critical thinking: Encourage students to engage in critical thinking by asking open-ended questions, creating opportunities for debates to challenge their ideas, and urging them to articulate and defend their viewpoints.

    4. Encourage collaboration: Students excel in collaborative learning environment, such as group projects and peer reviews where they can engage with their classmates. These activities allow them to learn from each other and view different perspectives.

    5. Provide ongoing feedback: Providing constructive feedback is essential for helping students identify their strengths and areas for improvements. By having planned check-ins, teachers can tailor their instruction to ensure that they are meeting the academic needs of individual students.

    References

    Levin, T., & Wadmany, R. (2006). Teachers’ Beliefs and Practices in Technology-based Classrooms: A Developmental View. Journal of Research on Technology in Education, 39(2), 157–181. https://doi.org/10.1080/15391523.2006.10782478

    Moser, K. M., Ivy, J., & Hopper, P. F. (2019). Rethinking content teaching at the middle level: An interdisciplinary approach. Middle School Journal, 50(2), 17–27. https://doi.org/10.1080/00940771.2019.1576579

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