Psst… you can snag our growth mindset posters for your math classroom here. Look ahead to the specific concepts students need to master for annual end-of-year tests and pace instruction accordingly. Think about foundational skills they will need for future learning. Know the specific standards and back-map your teaching from the fall so students are ready. You may not even see the results of standardized tests until next school year, but you have to teach to it now. Use formative assessments to ensure that students understand the concepts.
What you learn can guide your instruction and determine the next steps, says Fennell. Testing is not something separate from your instruction. It should be integrated into your planning. A capable digital resource, designed to monitor your students in real-time, can also be an invaluable tool, providing actionable data to inform your instruction along the way.
However, we should keep our pacing flexible, or kids can fall behind. Walk through your classroom as students work on problems and observe the dynamics. In response, make decisions to go faster or slower or put students in groups. Digital education programs, such as Imagine Math and Blueprint, situate mathematical tasks in real-world settings to help students see mathematics is all around them.
Blueprint is beautifully designed so that the mathematics learning takes place in context. Young children are exposed to mathematics through exploration and completing math lessons alongside character friends in the program. This helps students to see math as a part of their world instead of as an isolated subject. Students should be encouraged to purposefully select a representation or math tool that will best help them solve the problem they are working through.
To ensure success with this skill, students must be provided with the appropriate tools and explicit instructions on how to use tools to solve their problem. For example, teachers may model for students how to measure the area of an object and then offer them a ruler, a calculator, or a protractor. Imagine Math supports this standard by providing students with multiple digital tools throughout the program. The guided learning sections in Imagine Math show students how math tools can be used in various mathematical scenarios.
Students must then choose which tool will best assist them in solving their problem. Being successful in mathematics requires attention to detail and preciseness, whether that means checking answers more than once or copying down a problem accurately. Teachers should encourage students to take their time and check their work. Precision can also be applied to mathematical discourse and choosing not only precise calculations but also precise language to explain reasoning.
When teachers intentionally plan how to orchestrate productive mathematics discussions students will grow mathematically in ways that are otherwise unlikely to take place. Students—in particular English learners—need to use mathematical vocabulary and practice articulating mathematical concepts to help them develop the language and concepts of mathematics.
When students practice using precise language, mathematical concepts are better illuminated and misconceptions are minimized. A great resource for ideas on how teachers can plan for productive mathematical discussions in the classroom is 5 Practices for Orchestrating Productive Mathematics Discussion.
Looking for patterns and connections is key as these patterns create structure that students can hang their hats on as a tool for problem solving. Educators can point these problem structures out to students at all levels and encourage students to look for patterns in math. For example, early learners may note patterns in counting whole numbers, while elementary students may use the repeated patterns found in fact families for addition. Chiappetta also uses applets from the Massachusetts Institute of Technology for her linear algebra students.
Desmos grades 6—12 , a website with interactive math activities and a graphing calculator also available as an app on iPhone, iPad, iPod Touch, and Android , is another free tool and a favorite among teachers, we heard. While social and emotional learning SEL and math may not seem to go hand in hand, teachers integrated SEL into math lessons using Desmos. In the first week of distance learning, Ashley Taplin, a secondary math specialist in San Antonio, Texas, had her students graph how they were feeling , for example.
Taplin says she particularly loves that teachers can make their own activities—like this one about parabolas and this card sort , where students match cards with the name, corresponding equation, and correct graphical representation of a function.
After successfully answering a math problem, a student's pet casts a spell in a battle. Courtesy of Prodigy After successfully answering a math problem, a student's pet casts a spell in a battle.
Open Math Tasks Open math tasks—problems that typically have more than one answer—help students develop a conceptual understanding of math rather than get hung up on memorizing facts, said math educators we talked to, who consistently mentioned three free websites to use for open math tasks.
Using "Which One Doesn't Belong? Rich Math Tasks For rich math tasks—tasks that lend themselves to rigor, collaboration, and conceptual thinking—math educators noted a couple of websites.
Today, the focus is for students to achieve college and career readiness in life beyond school. The goal is for students to be literate in mathematics so that we can prepare them for a world where the subject is rapidly growing and is extensively applied to a diverse number of fields. Teaching mathematics can only be described as truly effective when it positively impacts student learning.
We know that teaching practices can make a major difference to student outcomes, as well as what makes a difference in the classroom. Research and evidence from the field of mathematics lets us know, with a fair degree of certitude, how effective teachers of mathematics skillfully integrate a range of instructional approaches and resources to meet the diverse learning needs of their students.
Effective teachers:. Effective teachers of mathematics know the pedagogy that determines how their students successfully learn. Such teachers recognize that in order for students to effectively use mathematics they need to understand the concepts presented as well as become fluent with the skill taught.
It is through the ongoing and increasingly complex application of concepts and skills that students become secure and competent in their use. They recognize the importance of using concrete materials and visual representations to develop a deep understanding of the subject.
They have a clear picture of the learning progression that best develops the knowledge base and skills of their students.
They also have a broad palate of learning experiences they can use in the classroom, to meet the different learning needs of each student.
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