This paper reports on concept images of 38 secondary school mathematics prospective teachers, regarding the evenness of numbers. Written assignments, individual interviews, and lesson transcripts uncover salient, erroneous concept images of even numbers as numbers that are two times "something" (i.e., "2i" is an even number),…

We present action research of a problem posed as part of a multi-participant national (Israeli) test checking the mathematical knowledge of high school students at the ages of 16-17, where some of those who solved this problem made an error by using the converse to a well-known theorem, where the converse is not true. In order to examine the…

Many countries do not include the normal distribution concept in their middle school mathematics curriculum, but on the grounds that middle school mathematics teachers need to know more than just mathematics, researchers argue that preservice teachers (PTs) ought to have knowledge and skills in this area. This study was aimed to investigate PTs'…

We discuss the limits of the equation of the period of a simple pendulum, T[subscript s] = 2[pi][square root]l/g, frequently used in high-school and university classrooms to measure the acceleration of gravity. We evaluate the relative error in determining the acceleration of gravity with this simple equation instead of a more realistic one,…

This study investigated the methods that pre-service teachers employed while finding volume using integration and the reasons why they utilized these methods (problems); the accuracy of their solutions was also analyzed in this study. Case study design, a qualitative research method, was used for this study. 45 sophomore pre-service teachers…

This study aims to determine how prospective middle school mathematics teachers respond to students' errors in the questions about the equal sign. This study utilizes case study method. In this case study, hypothetical scenarios, involving three common error types related to the equal sign, have been prepared by using the possible examples of…

This qualitative case study aimed to investigate prospective middle school mathematics teachers' instructional responses based on the students' correct and incorrect functional thinking within the context of pattern generalization. The data were collected from thirty-two prospective teachers through a written task and semi-structured interviews…

In this discussion, we argue for those who are literacy educators to reframe gossip as a dialogic, feminist act in their teaching and interpretation of gossip as framed in the literature they teach in secondary English language arts (ELA) classrooms. Reframing gossip as a feminist act invites meaning-makers to view those conversations and…

Approximations of practice in teacher education provide learning opportunities for teacher candidates (TCs) in a space that is less authentic than classroom teaching, yet still maintains the complexity and interactive nature of core teaching practices. There exists a need for more research focused on documenting TCs' learning through such…

This corpus-based study investigates lexical richness in English writing by Chinese senior high school students. Lexical uses in 303 compositions were compared across three grades in terms of lexical sophistication, variation, density and errors. Timed compositions were sampled from Writing Corpus of English Learners, and the sample sizes of three…

This research aimed to determine the difficulties that the students experience in inequality solutions that contain inequality in general and rational (proportional) expressions, and to solve these difficulties with an activity. Totally 108 students, who were enrolled in the Department of Mathematics and Science Education, consisted respectively…

Students' contributions that are not yet mathematically complete, precise, or correct are crucial for learning through classroom discussions. We aim to support teacher candidates (TCs) to see students' ideas as evidence of sensemaking and to respond in ways that keep student thinking central to the discussion. Although approximations of practice…

An onto-semiotic analysis of the mathematical connections established by one in-service mathematics teachers and university students when solving a problem about launching a projectile using the derivative was carried out. Theoretically, this research was based on the articulation between the Extended Theory of Mathematical Connections and the…

This paper presents a thorough method for studying the interference of water waves. The study aimed: (a) to demonstrate the interaction of two coherent waves, which creates interference patterns, and (b) to analyse the interference patterns. Three main tools were employed: a simplified ripple tank to experiment, a smartphone camera to record the…

In two experiments we examined the extent to which musicians identify discrepancies between their intentions and their playing during individual practice. In the first experiment, 60 musicians representing four levels of skill development practiced a familiar piece from their own repertoire for 5 min while being audio recorded. They then listened…