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This paper examines how a certain threshing machine was developed and improved by Jobst Heinrich Voigt and Gottfried Wilhelm Leibniz between 1699 and 1700. While this machine was based on various mechanical principles and instruments, including the pinned drum mechanism first noted by Georg Philipp Harsdörffer, it was later reconceptualized as a 'mathematical' machine. I claim that such a positioning was not unique to this machine, but part of a wider movement during the 18th century that considered various artisanal instruments as mathematical, as well as agricultural and artisanal knowledge as scientific. Examining the development and subsequent reception of this machine, I show that during the first decades of the 18th century these conceptions gave rise to a double image of this machine, and hence of agricultural knowledge in general: on the one hand, this machine was considered as more efficient and productive (while still in need of improvement); on the other hand, it was viewed, either implicitly or explicitly, as something that should be studied by mathematicians, thus reflecting a changing image of mathematics., Competing Interests: Declaration of competing interest No competing interests to declare., (Copyright © 2024 Elsevier Ltd. All rights reserved.)

Background: Students often show unfavourable attribution: they attribute poor school performance to stable factors such as lack of ability and good school performance to variable factors such as effort. However, attribution can be influenced by individualized digital re‐attributional feedback leading to positive motivational effects and higher learning outcomes. This is very promising, but it still is unclear, whether this digital re‐attributional feedback can also be successfully integrated in everyday classroom activities. Objectives: The present field experiment investigated how integrating digital re‐attributional feedback into classroom instruction affects student attribution, motivation and learning outcomes. Methods: In the experiment, 8th–10th grade high school students (N = 322) worked with a digital mathematics learning program which was integrated in a three‐week teaching unit. Half the students in each classroom received only standard feedback after each practice task (SF group); the other half received additionally an individual re‐attributional feedback (RF group) after every third task. Attribution, mathematics self‐concept, and self‐efficacy were measured by an online questionnaire twice a week; learning outcomes in mathematics were measured weekly. Results and Conclusion: Hierarchical analyses showed that re‐attributional feedback led to a more favourable attribution in case of success on stable factors. Especially low‐performing students benefited from this feedback. No effects on attribution in case of failure, self‐efficacy or learning outcomes could be found. Further research could investigate if certain adaptations to the digital re‐attributional feedback is more effective in a real classroom setting and has a broader impact on different students. Lay Description: What is already known about this topic: Working with computers in the classroom and at home is becoming more common.Re‐attributional feedback can increase student's motivation when given directly after solving a task and at a high density.Digital re‐attributive feedback can be given in a high density.Re‐attributional training sessions have been shown to be effective in individual training sessions or outside the students' classroom. What this paper adds: The study took place within a real teaching environment during mathematics class for 4 weeks.Digital re‐attributional feedback sessions were directly integrated into the students' online learning which was part of the teaching plan. The implications of study findings for practitioners: Computer‐based re‐attributional training show some limited effects in regular classroom instruction and could be well integrated in student online learning—when adapted accordingly.Low‐performing students show less favourable attribution than better‐performing students in case of success and benefit the most from re‐attributional training. [ABSTRACT FROM AUTHOR]

Children with mathematical difficulties need to spend more time than typically achieving children on solving even simple equations. Since these tasks already require a larger share of their cognitive resources, additional demands imposed by the need to switch between tasks may lead to a greater decline of performance in children with mathematical difficulties. We explored differential task switch costs with respect to switching between addition versus subtraction with a tablet-based arithmetic verification task and additional standardized tests in German elementary school children in Grades 1 to 4. Two independent studies were conducted. In Study 1, we assessed the validity of a newly constructed tablet-based arithmetic verification task in a controlled classroom-setting (n = 165). Then, effects of switching between different types of arithmetic operations on accuracy and response latency were analyzed through generalized linear mixed models in an online-based testing (Study 2; n = 3,409). Children with mathematical difficulties needed more time and worked less accurately overall. They also exhibited a stronger performance decline when working in a task-switching condition, when working on subtraction (vs. addition) items and in operations with two-digit (vs. one-digit) operations. These results underline the value of process data in the context of assessing mathematical difficulties. [ABSTRACT FROM AUTHOR]

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Gender disparities persist in the field of mathematics in German science and academia. From one scientific career level to the next, the proportion of female scientists decreases and women are still underrepresented in the top positions in science/academia. Gatekeeping is assumed to be one reason for the persistence of this disparity. Gatekeepers influence access to and advancement in the science system: They recruit researchers and provide support in the form of knowledge relevant for career advancement and open the way for further career steps, i.e., they hold an important decision-making position regarding the future of prospective female scientists. The study investigates if and if so, how gender disparities are reinforced in recruitment and support processes by gatekeepers in a mathematical cluster of excellence in Germany. Qualitative semi-structured interviews were conducted with 44 scientific gatekeepers in leadership positions. The results show how recruitment and support practices, perceptions, and criteria of scientific potential are interwoven with gender stereotypes, thereby creating potential barriers for female PhD students and postdocs. [ABSTRACT FROM AUTHOR]

The present study investigated direct as well as indirect relations between children's emotion regulation (anger- and avoidant-oriented strategies), behavior regulation, and mathematics achievement in a longitudinal study during the transition from primary to secondary school in Germany. Participants were 76 primary school students attending grade four at Time 1, of whom 51 participated again as secondary school students attending grade five at Time 2, as well as children's mothers and teachers. Anger- and avoidant-oriented emotion regulation strategies at Time 1 were negatively associated to behavior regulation at Time 2. Behavior regulation at Time 2 was positively related to mathematics achievement at Time 2. There were no direct relations between emotion regulation (anger- and avoidant-oriented strategies) at Time 1 and mathematics achievement at Time 2. However, we found significant indirect negative effects between emotion regulation (anger- and avoidant-oriented strategies) at Time 1 and mathematics achievement at Time 2 via behavior regulation at Time 1. Thus, anger- and avoidant-oriented emotion regulation at Time 1 indirectly affected mathematics achievement negatively at Time 2 via behavior regulation at Time 2. This study confirms the complex structure of self-regulatory processes and underlines the importance of specific emotion regulation strategies for mathematics achievement. [ABSTRACT FROM AUTHOR]