This paper provides a critical and detailed study of what researchers in the fields of contemporary cognition and neuroscience have revealed about the blurred boundary between perception and cognition. We set out the arguments with a view to what researchers and teachers should now consider regarding the subtleties of their interrelationship in…

Teachers' questioning is a key practice that influences student learning, yet not all teachers' questioning is equally effective, and fine-grained analyses uncovering the details of teachers' questioning are scarce. My study investigated the types of questions asked by three in-service elementary school math teachers, the associated levels of…

Questions asked by teachers are vital to maintaining and sustaining learner engagement. In Hong Kong secondary classrooms where English is used as the medium of instruction (EMI), productive teacher questioning is key to promoting both language and content learning. Drawing on classroom observations and in-depth interviews, this study investigated…

Background: Creativity is one of the key competencies for the talent of the 21st century to meet future challenges in a complex world. It is also an innovative basis for students to discover and pose questions. Purpose: This study aimed to explore which two interventions of the problem-oriented teaching model, teacher-guided problem finding (TGPF)…

This study was carried out in order to determine how the 3rd grade students of the Department of Elementary Mathematics Education structured their "if and only if propositions". The data were obtained by examining the students' answers given to the midterm exam questions and discussing the solutions with the students in the classroom.…

In calculus courses, instructors often use the end-of-section problems in a textbook in homework assignments or other course assessments. As a result, these problems influence the teaching and learning of calculus. In this study, we examine the levels of cognitive demand of these problems in a mainstream calculus textbook and classify them within…

Teaching and learning mathematics in an elementary classroom is a complex process in negotiating a balance in encouraging participation, responding to students, making connections between interactions, and planning for upcoming interactions. In a search for instructional models and structures that support and encourage student engagement in…

Despite their drawback, multiple-choice questions are an enduring feature in instruction because they can be answered more rapidly than open response questions and they are easily scored. However, it can be difficult to generate good incorrect choices (called "distractors"). We designed an algorithm to generate distractors from a…

In courses with a heterogeneous student population, instructors are often challenged to balance successful course completion with rigor. This difficult task can be confounded in foundational, gateway courses, such as introductory biology, which serves a mix of freshman majors at various levels of preparedness. Research suggests that changes in…

Critical thinking skills are the 21st-century life skills that are needed by students. However, in elementary schools, there are no instruments that are truly effective and efficient to measure critical thinking skills. This research aims to develop an open-ended question assessment instrument to measure students' critical-thinking skills, to test…

We share ideas for preparing for and enacting high-cognitive demand tasks in ways that support students in articulating and justifying their ideas. We offer strategies for developing and posing several types of purposeful questions: (1) eliciting thinking, (2) generating ideas, (3) clarifying explanations, and (4) justifying claims.

An important aspect of higher education is to educate students who can manage complex relationships and solve complex problems. Teachers need to be able to evaluate course content with regard to complexity, as well as evaluate students' ability to assimilate complex content and express it in the form of a learning outcome. One model for evaluating…

While the general planning advice offered to mathematics teachers seems to be to start with simple examples and build complexity progressively, the research reported in this article is a contribution to the body of literature that argues the reverse. That is, posing of appropriately complex tasks may actually prompt the use of more sophisticated…

Intermediate-grade teachers often express concerns about meeting the Common Core State Standards for Reading, primarily because of the emphasis on deep understanding of complex texts. No matter how difficult the text, if teachers demand little of the reading, student meaning making is not challenged. This article offers a tool for teachers to…

A central issue in the design of curricula for all school levels is the development of the learners' high-order thinking skills and metacognitive skills. Among such required skills is the ability to solve problems. The literature dealing with the development of problem-solving skills is vast and primarily addresses the scientific disciplines, even…