Two developments have contributed to the convergence of views about the benefits of real-life and inquiry-based pedagogies in mathematics learning. First, the mathematics teaching community is increasingly focused on the learning of mathematics that involves the transfer of prior knowledge to novel problem-solving situations, a key element in…

Previous research has indicated that the use of multiple representations with macroscopic and molecular features can improve conceptual understanding; however, the influence of prior knowledge of the domain cannot be overlooked. Using eye-tracking technology and sequential analysis, this study investigated how high school students (n = 54) with…

Background: Various studies on analogical problem solving have shown that children can be taught to use analogies within a single session, but it is not known whether they can be taught a strategy for using analogical problem solving that persists over a period of time. Aim: Our study focused on the effects of prior assistance in analogy use on…

Seeking more effective mathematics instruction, this author decided to incorporate Cognitively Guided Instruction (CGI) into first-grade classroom lessons. Students in CGI mathematics classrooms are prompted to use their prior knowledge to solve new problems, establish cognitive structures to which new learning can be connected, and be driven by…

The interactions between levels of learner prior knowledge and effectiveness of different instructional techniques and procedures have been intensively investigated within a cognitive load framework since mid-90s. This line of research has become known as the expertise reversal effect. Apart from their cognitive load theory-based prediction and…

Recent criticisms of the goal of "science for all" with regard to minority students have alluded to the onerous culture of school science characterized by white, middle-class values that eschew personal everyday science experiences and nontraditional funds of knowledge, in addition to alienating science instruction. Using critically-oriented,…

By definition and purpose, education is the development of human capital towards meeting the individual and social needs of learners and their societies. This transdisciplinary collaboration parallels the underpinning principle of Lave and Wenger's Legitimate Peripheral Participation (Lave & Wenger, 1990) to South Africa's post-colonial…

Curriculum design is at the center of developing student ability to construct understanding. Without appropriately designed curriculum, instruction can be ineffective at scaffolding understanding. Often students with disabilities need more explicit instruction or guidance in applying their schema to new information. Thus, instruction must not only…

The numerical knowledge of children from low-income backgrounds trails behind that of peers from middle-income backgrounds even before the children enter school. This gap may reflect differing prior experience with informal numerical activities, such as numerical board games. Experiment 1 indicated that the numerical magnitude knowledge of…

Purpose: This paper aims to describe a method of teaching that is based on Novak's concept-mapping technique. Design/methodology/approach: The paper shows how concept mapping can be used to measure prior knowledge and how simple mapping exercises can promote the integration of teachers' and students' understandings in ways that are meaningful.…

When students enter the classroom, they often hold prior knowledge or conceptions about the natural world. These conceptions will influence how they come to understand what they are taught in school. Some of their existing knowledge provides good foundation for formal schooling, but other prior conceptions, however, are incompatible with currently…

This study examined whether the quality of first graders' (mean age = 7.2 years) numerical magnitude representations is correlated with, predictive of, and causally related to their arithmetic learning. The children's pretest numerical magnitude representations were found to be correlated with their pretest arithmetic knowledge and to be…

Students in Ginger M. Eikmeier's high school classes link themes and terms from their readings to episodes of "The Simpsons." Because students are already familiar with "The Simpsons," Eikmeier believes that using the show supports students' comprehension and retention by activating prior knowledge. Additionally, it shows students that she cares…

This correlational study examined the relationship between gender and the students' attitude and prior knowledge of using one of the mathematical software programs (MATLAB). Participants were selected from one community college, one state university and one private college. Students were volunteers from three Calculus I classrooms (one class from…

Slavery in the pre-Civil War United States is a hard topic to teach, not only because it raises issues of racism and injustice, but also because students assume so much. Often, they think all northerners were abolitionists or "good guys" and southerners were "bad guys" who enslaved African Americans because they viewed them as inferior. England,…