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Despite problem posing's prominence in mathematics education research, its implementation in classrooms is limited. Therefore, teacher educators should incorporate problem posing tasks into preparation programs to help prospective teachers gain confidence in their abilities. One approach to teaching problem posing includes providing examples. The Common Core State Standards Initiative provides taxonomies with examples of one-step word problems for all four basic operations. Through this mixed-methods study, preservice teachers (N = 44) regularly identified and posed word problems within the addition and subtraction taxonomy. Before and after the intervention, the preservice teachers answered survey questions and posed problems to model given equations. The researchers analyzed the preservice teachers' abilities to pose logical word problems and to match given equations before and after instruction. They also quantitatively analyzed Likert-style survey responses on perceptions of posing the various types of word problems and integrated the results with a qualitative analysis of open-ended responses expanding on the same questions. Results showed participants' abilities to pose problems increased after the intervention. Additionally, participants felt problems with the unknown information at the beginning or middle were harder to pose than those with the unknown information at the end.

The Dynamic and Interactive Mathematical Expressions (DIME) Map system automatically generates DIME maps, which are personalizable and manipulable concept maps that allow students to interact with the mathematical concepts contained in any portable document format (PDF) textbook or document. A teacher can automatically upload a PDF textbook chapter and retrieve a DIME map of the contained mathematically based concepts. The DIME map is interactive and manipulable and can be used to interactively navigate the PDF textbook chapter. Our goal was to investigate the relationship between use of DIME maps and student learning outcomes, including self-efficacy and ability to understand and recall connections between physics concepts. We implemented a pretest/posttest to determine if student self-efficacy and connections in knowledge increased after participation in a summer camp physics class. We additionally conducted student interviews to better understand how changes in these two factors may have occurred. We then used multivariate analysis of variance and thematic analysis, finding and investigating positive effects of students using DIME maps, namely growth in self-efficacy and connections in knowledge. Based on our findings, we conclude that DIME maps can be valuable learning tools for students that have positive effects on both cognitive and affective learning outcomes.

Scientific evidence regularly guides policy decisions1, with behavioural science increasingly part of this process2. In April 2020, an influential paper3 proposed 19 policy recommendations (claims) detailing how evidence from behavioural science could contribute to efforts to reduce impacts and end the COVID-19 pandemic. Here we assess 747 pandemic-related research articles that empirically investigated those claims. We report the scale of evidence and whether evidence supports them to indicate applicability for policymaking. Two independent teams, involving 72 reviewers, found evidence for 18 of 19 claims, with both teams finding evidence supporting 16 (89%) of those 18 claims. The strongest evidence supported claims that anticipated culture, polarization and misinformation would be associated with policy effectiveness. Claims suggesting trusted leaders and positive social norms increased adherence to behavioural interventions also had strong empirical support, as did appealing to social consensus or bipartisan agreement. Targeted language in messaging yielded mixed effects and there were no effects for highlighting individual benefits or protecting others. No available evidence existed to assess any distinct differences in effects between using the terms physical distancing and social distancing. Analysis of 463 papers containing data showed generally large samples; 418 involved human participants with a mean of 16,848 (median of 1,699). That statistical power underscored improved suitability of behavioural science research for informing policy decisions. Furthermore, by implementing a standardized approach to evidence selection and synthesis, we amplify broader implications for advancing scientific evidence in policy formulation and prioritization.

Many researchers have debated potential differences between male and female students' mathematical performance. One important factor that can impact performance is perception of the content. The purpose of the study is to investigate factors that impact high-ability male and female students' perspectives of mathematics. Participants (n = 12; n[subscript f] = 5, n[subscript m] = 7) attended a 10-day residential summer camp during which the researchers conducted individual, semistructured interviews with each participant. Using a thematic analysis, the researchers examined the interview transcripts for themes by gender. Six common themes emerged between male and female students: perseverance, performance, self-efficacy, enjoyment of content, social component, and life relevance. Female students reported that adult influence was also a factor. Further examination showed that female students are more likely to report enjoyment of content as a factor, whereas males are more likely to report perseverance and performance.

An effective professional program can enhance the integrated knowledge and skills of Science, Technology, Engineering, and Mathematics (STEM) among mathematics teachers. Nevertheless, the strategies for STEM integration in teaching and learning taught in many professional programs have proven impractical for many teachers. Thus, a systematic literature review is presented to investigate the characteristics of successfully implemented professional programs for STEM education for mathematics teachers. Twenty research articles published from 2017 to 2021 were obtained from the Scopus and Web of Science databases. The results show that of six interdisciplinary concepts, the integration of mathematics and science content was the one most employed in professional programs. In addition, the workshop design type was found to be popular for STEM professional programs, and it impacted teachers' teaching practices in the classroom, student learning outcomes, and knowledge and skills. The results suggest that the self-efficacy of mathematics teachers and their commitment to the programs were significant factors contributing to the effectiveness of the programs. When planning STEM professional development programs, organizers need to think about the needs of teachers and students, the length of the programs, practical activities, STEM concepts, follow-up actions, and so on in order to meet the goals of these programs.

Preparing students with knowledge and expertise in science, technology, engineering, and mathematics (STEM) is vital in meeting the demand for digital age career opportunities. Nevertheless, there is sparse research on teachers' views of student preparedness and teachers' knowledge of STEM in classroom instruction. The present study examines secondary school teachers' perceptions of STEM pedagogical content knowledge (STEMPCK). An online survey was administered to 66 Malaysian secondary school teachers through Google Forms to determine their perspectives of STEMPCK. Data were collected and analyzed using IBM SPSS Statistics Version 20.0. The descriptive analysis showed that the selected teachers highly agreed on the pedagogical knowledge and knowledge of 21st century skill components of STEMPCK. However, the non-parametric analysis showed no significant mean differences in STEMPCK scores based on gender, educational qualification, and teaching experience. The study's implications suggest that teachers in these fields should be equipped with the necessary knowledge to be more confident in implementing STEM teaching in their respective schools.

This paper details the conceptualization, design, topology optimization, manufacturing, and validation of a hydraulic brake caliper for Formula SAE race cars made of Scalmalloy®, an innovative Al-Mg-Sc alloy which was never adopted before to manufacture a brake caliper. A monoblock fixed caliper with opposing pistons was developed, focusing on reducing mass for a fixed braking force. The design process began with a theoretical analysis to establish braking force and pressure requirements, followed by preliminary design and topology optimization. The caliper was then manufactured using laser powder bed fusion (LPBF). Comprehensive experimental validation, including testing with static and rotating brake discs on an inertial dynamometer, confirmed the expected caliper’s performance, with the results showing strong alignment with finite element analysis estimations. In particular, strain and displacement measurements showed excellent correlation with numerical estimates, validating the design’s accuracy and effectiveness.

Problem posing research in mathematics education has increased in the last decade. As a result, the intent of the present study is to examine and summarize the research that has been conducted. Specifically, we examined articles published from 2011-2020 that studied the impact of problem-posing instruction on students' problem-solving abilities. In total, seven articles were included in the systematic review. We concluded that the effect of problem-posing instruction on students' problem-solving skills is varied, though prior research on the relationship between posing and solving demonstrates a positive impact. Thus, while there remains a great need for further research in this area, there are indications that problem-posing could improve students' problem-solving abilities.

We present eight experiments exploring gender biases in GPT. Initially, GPT was asked to generate demographics of a potential writer of fourty phrases ostensibly written by elementary school students, twenty containing feminine stereotypes and twenty with masculine stereotypes. Results show a strong bias, with stereotypically masculine sentences attributed to a female more often than vice versa. For example, the sentence “I love playing fotbal! Im practicing with my cosin Michael” was constantly assigned by GPT-3.5 Turbo to a female writer. This phenomenon likely reflects that while initiatives to integrate women in traditionally masculine roles have gained momentum, the reverse movement remains relatively underdeveloped. Subsequent experiments investigate the same issue in high-stakes moral dilemmas. GPT-4 finds it more appropriate to abuse a man to prevent a nuclear apocalypse than to abuse a woman. This bias extends to other forms of violence central to the gender parity debate (abuse), but not to those less central (torture). Moreover, this bias increases in cases of mixed-sex violence for the greater good: GPT-4 agrees with a woman using violence against a man to prevent a nuclear apocalypse but disagrees with a man using violence against a woman for the same purpose. Finally, these biases are implicit, as they do not emerge when GPT-4 is directly asked to rank moral violations. These results highlight the necessity of carefully managing inclusivity efforts to prevent unintended discrimination.

Previous research has shown knowledge, perceptions, and attitudes are essential factors during mathematics classroom instruction. The current study examined the effects of a 3-week fraction instructional unit using concrete models, problem-solving, and problem-posing to improve elementary preservice teachers' knowledge, perceptions and attitudes towards fractions. A quasi-experiment design was implemented to gather data via closed-ended, open-ended, and essay tasks from a convenience sampling of 71 female elementary preservice teachers during pre- and post-assessments. The study discovered that the select preservice teachers were weak in the content knowledge specifically on unit-whole, part-whole, equivalent area, arithmetic operations, and ordering fractional values. In contrast, the incorporation of concrete models, problem-solving and problemposing was effective in improving the preservice teachers' level of pedagogical content knowledge, perceptions and attitudes towards fractions. Implications of the results and suggestions are discussed.

Este trabajo desarrolla modelos teóricos de metas de inflación, los cuales concilian dos fenómenos que han caracterizado a la economía mexicana en el período 2000-2020: esta economía ha presentado una inflación y una tasa de crecimiento económico bajas y estables. Para llevar adelante esta tarea primero se analizan los canales de transmisión de la política monetaria, en particular los de la tasa de interés y del crédito. Luego se endogeniza la tasa de crecimiento natural de la economía, explotando la fuerte correlación que existe entre esa variable y la tasa de crecimiento efectiva. El desarrollo de los modelos muestra las condiciones que se deben cumplir para que una política monetaria contraccionista tengo un efecto negativo permanente en las tasas de crecimiento de la economía, al mismo tiempo que se controla la inflación. Estas condiciones implican que el crédito tenga una fuerte respuesta al nivel de crecimiento de la economía y que la tasa de crecimiento natural dependa de forma positiva de la tasa de crecimiento efectiva.

Glioblastoma (GBM) is the most malignant brain tumor, characterized by cell heterogeneity comprising stem cells (GSCs) responsible for aggressiveness. The calpain/calpastatin (calp/cast) proteolytic system is involved in critical physiological processes and cancer progression. In this work we showed the expression profile of hcast 3-25 (a Type III calpastatin variant devoid of inhibitory units) and the members of the system in several patient-derived GSCs exploring the relationship between hcast 3-25 and activation/activity of calpains. Each GSC shows a peculiar calp/cast mRNA and protein expression pattern, and hcast 3-25 is the least expressed. Differentiation promotes upregulation of all the calp/cast system components except hcast 3-25 mRNA, which increased or decreased depending on individual GSC culture. Transfection of hcast 3-25-V5 into two selected GSCs indicated that hcast 3-25 effectively associates with calpains, supporting the digestion of selected calpain targets. Hcast 3-25 possibly affects the stem state promoting a differentiated, less aggressive phenotype.

Posing problems in the mathematics classroom can enhance students' learning experiences and allow them to produce problems in a realistic context. Students do not always associate positive feelings with mathematics. Problem-posing activities can positively impact students' mathematical understanding while allowing for freedom of expression. Conducted within a larger multi-year study (N = 35), the present study utilized a subset of data (n = 11) on elementary students. The primary focus was to understand how a problem-posing intervention can increase students' mathematical understanding and ability to pose solvable problems. Problems posed by students were coded based on their solvability and then were further analyzed for their realism, context, and flexibility in computational terminology as well as the correct alignment of the word problem with the student's written equation. Results suggest elementary students can create solvable word problems within a variety of different contexts.

Project-based learning (PBL) allows students to identify and find solutions to real-world problems using inquiry-based learning. While increasingly used in the K-12 classroom, PBL has not had widespread adoption in higher education. With the exception of Correll and Bornstein (2018), very little has been written about using PBL to redesign college and university Curriculum Resource Centers. However, because PBL is primarily a K-12 teaching pedagogy, it is the perfect fit to give pre-service teachers the active learning skills they will need for their future K-12 classrooms. The skills developed through project-based learning teach pre-service teachers to become independent and resourceful through learning how to develop their professional voices through inquiry. The authors of this article used PBL in conjunction with the Association of College and Research Libraries (ACRL) Guidelines for Curriculum Materials Centers (CMCs) and the three themes for PBL success in higher education identified by Lee et al. (2014) to work with a small class of upper-level elementary education pre-service teachers to redesign an academic library Curriculum Resource Center.

Problem-posing activities have been shown to motivate students' learning while promoting a multifaceted and interesting educational environment. Moreover, these activities enable students to be engaged in personal interpretations of their own mathematical thinking. The purpose of this study was to determine if using a handson learning intervention with multiple representations could improve students' problem-posing skills. The researchers examined the answers of the participants (n = 14) with the greatest increase in scores from pre to posttest after participating in 20 problem-posing intervention activities to determine how the intervention allowed students to pose valid, real-world semi-structured problems. The researchers qualitatively analyzed the posed problems for logical real-world contexts and the alignment of the setup of each problem to determine if the students' posed problems were logical and solvable. Results from this study confirm that students were able to build stronger understanding of mathematical content when they were engaged in authentic problem-posing activities that were meaningful to them. Thus, teachers need to include purposeful and focused problem-posing activities into their classroom lessons.

Abstract The operating temperature of integrated magnetic components can be critical. Excessively high temperature can significantly modify the properties of components, especially those of magnetic material, such as saturation magnetization and magnetic permeability. This article introduces an experimental characterization method using two different sensors. We compare the results obtained from these sensors. Initially, the method is validated using a “meander component, and subsequently, it is applied to planar spiral inductors, both with and without magnetic material.