In 1988, Robert O'Hara coined the now ubiquitous phrase "tree thinking" to highlight the importance of cladistics for proper evolutionary reasoning. This accessible phrase has been taken up widely in the professional, popular, and educational literatures, and it has played an important role in helping spread phylogenetic thinking far…

Research suggests exposure to misinformation continues to impact belief and reasoning, even if that misinformation has been corrected (referred to as the "Continued Influence Effect, CIE"). The proposed experiment explores two potentially important factors that may impact the effect: (a) learner age and (b) length of delay between…

How we should teach mathematics has long been debated by advocates of different instructional approaches. These debates can lead to tensions that are difficult to navigate for those who are new to (or even veterans of) the profession. Educators often propose a "balance" of different approaches as a solution. Charles Munter considers…

Think-aloud interviews have been a valuable but underused tool in statistics education research. Think-alouds, in which students narrate their reasoning in real time while solving problems, differ in important ways from other types of cognitive interviews and related education research methods. Beyond the uses already found in the statistics…

This lesson focuses specifically on teaching concepts of speed and its impact on energy, as well as providing a basic introduction to potential and kinetic energy to fourth-grade students. "Next Generation Science Standards" ("NGSS") 4-PS3-1 states that students should be able "to use evidence to construct an explanation…

The author identifies six myths that pervade educational thinking about advanced learning and constrain educational opportunities for gifted students. These myths relate to higher-level thinking, differentiated learning outcomes, accelerated work, limitations on other students, standards, and students from low-income backgrounds. The author…

The most obvious way that misinformation does damage is by causing people to believe misconceptions or reducing belief in accurate facts. One experiment found that just a handful of cherry-picked statistics about climate change confused people and reduced their acceptance that climate change was happening. After being shown the misinformation,…

Computational thinking is a contemporary science and engineering practice that has been introduced to the US science classrooms due to its emphasis in the "Next Generation Science Standards" (NGSS). However, including computational thinking into science instruction may be challenging. Therefore, for biological evolution (an essential…

Addressing student conceptions with instruction has been a major issue in physics education for decades. However, too often the focus is on treating student ideas as "misconceptions" rather than as potentially productive ideas with varying degrees of sophistication. This paper introduces "learning progressions" as models that…

In recent years, content integrated language education has taken center stage in Japanese university English-as-a-foreign-language (EFL) settings. The emphasis on content has created an opportunity for students to demonstrate analytical thinking, assessment, inference, and problem-solving skills through oral communication activities in English…

Professional learning strategies often rely on the belief that teaching and learning outcomes are best when teachers have a clear understanding of students' thinking. This may seem like common sense -- after all, students are active participants in the learning process, so their thinking impacts the outcome. But does research support the…

When public schooling was first introduced in the United States, early proponents emphasized the need for mathematics as critical for an informed citizenry in a democracy. Half a century later, this purpose of mathematics has been almost entirely overshadowed by the push for mathematics to maintain technological and economic advantages. The belief…

Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.

Technological advances afford teacher educators, designers, and researchers the opportunity to use videos as an instructional tool to help parents, caregivers, teachers, and other adults support young children's mathematical development. We created five Magic Math Minute videos to highlight examples of young children's mathematical thinking and to…

In this paper, a learning progression for geometric transformations is developed based on research that demonstrates the importance of viewing transformations as functions of the plane. The 5 levels of the progression reflect a student's evolving understanding of transformations as functions and their evolving understanding of the domain of these…