Students, even as young as kindergarten, are natural problem solvers (Carpenter et al., 2017). Even before they learn to count, they can make sense of mathematical problems and real- world situations (National Council of Teachers of Mathematics, 2022). Kindergartners can make sense of complex story problems, including Separate Start Unknown…

The use of multiple-choice items for classroom testing is firmly established for many good reasons. The content any unit or course of study can be well sampled. Test scores can be reliable (trusted). And time spent administering and scoring can be minimized. This article provides a current review of best practices in the design and use of a…

In this digital ITEMS module, Dr. Jacqueline Leighton and Dr. Blair Lehman review differences between think-aloud interviews to measure problem-solving processes and cognitive labs to measure comprehension processes. Learners are introduced to historical, theoretical, and procedural differences between these methods and how to use and analyze…

The act of explaining can help students to develop new understandings of mathematical ideas, construct rules for solving problems, become aware of misunderstandings or a lack of understanding and develop their mathematical communication. Their explanations can also offer opportunities for a teacher to understand more fully what the students are…

In this article, the authors outline an innovation curriculum that can be taught to elementary-aged students to expand their creative and innovative abilities and potential. The curriculum focuses on divergent and convergent thinking principles embedded in a hands-on learning pedagogy. The curriculum framework is based on an innovation model known…

Why encourage children to play board games? In the increasing disconnect of our digital lives, playing games provides a way to connect and relate with others on a human level. Strategy and role-playing games provide intellectual challenges and stretch creativity to keep the gifted mind engaged in solving problems. At the same time, the players…

When dividing one fraction by a second fraction, invert, that is, flip the second fraction, then multiply it by the first fraction. To multiply fractions, simply multiply across the denominators, and multiply across the numerators to get the resultant fraction. So by inverting the division of fractions it is turned into an easy multiplication of…

Writing multiple-choice test items to measure student learning in higher education is a challenge. Based on extensive scholarly research and experience, the author describes various item formats, offers guidelines for creating these items, and provides many examples of both good and bad test items. He also suggests some shortcuts for developing…

As reading is vital to success in life and opens the door to nearly all other learning opportunities, it is essential that educators understand why students with learning how to read. Therefore, it is key for both professionals and researchers to establish their own approaches to assist those with reading difficulties. "Developing Effective…

Many teachers try to engage their students in meaningful mathematical discussions in which one or more students share their thinking about a problem while the other students are expected to listen and learn from the sharing. Indeed, such discussions can help students learn from one another and promote high levels of mathematical proficiency.…

This paper outlines a STEM (Science, Technology, Engineering and Mathematics) learning experience for children in the early years of school. It builds on STEM education in early childhood with a shared purpose, "to help children to explore and make sense of their world using childrelevant and appropriate contexts" (Preston, 2018 p. 137).…

According to recently published national standards, elementary students should engage in engineering design activities. This article outlines ways that teachers can use literacy instruction to support young students' engineering design activity, such as by selecting texts in which characters face problems that can be solved through engineering,…

For adolescents who struggle with reading, a lack of confidence and reluctance to read in content areas such as history/social science presents challenges to learning. More specifically, difficulties with text comprehension and analysis limit content knowledge acquisition and self-expression, which can impact academic success. Therefore, it is…

Many rules taught in mathematics classrooms "expire" when students develop knowledge that is more sophisticated, such as using new number systems. For example, in elementary grades, students are sometimes taught that "addition makes bigger" or "subtraction makes smaller" when learning to compute with whole numbers,…

Meaningful learning of formal mathematics in regular classrooms remains a problem in mathematics education. Research shows that instructional approaches in which students work collaboratively on tasks that are tailored to problem solving and reflection can improve students' learning in experimental classrooms. However, these sequences involve…