The potential benefits of cognitive skills in enhancing mathematics ability have been claimed by numerous researchers. Since mathematics requires a complete understanding and grasp of abstract concepts, it is essential to explore how learning with metacognitive skills affects mathematics learning. Thus, the study investigates the students' metacognitive awareness and conceptual understanding of integers. A descriptive-correlational method approach was utilized, and it was carried out on 303 seventh-grade students. The data were obtained using a metacognitive awareness inventory and achievement test on (...) integers. It was further revealed that the students have average metacognitive awareness and performed well in the fundamental operation of integers. Follow-up qualitative analysis revealed that students who were high achievers had the best understanding, average achievers had corrected or incomplete understanding, and low achievers had a functional misconception of integers. Moreover, the student's metacognitive awareness was significantly related to their conceptual understanding of integers. This indicates that student's higher-order thinking skills, such as metacognition, are essential since they are associated with building conceptual skills. Thus, teachers should encourage students' metacognitive awareness to improve students' conceptual understanding of integers. The study provides relevant information for educational managers on the potential factors to be considered in improving mathematics education practices, particularly in promoting metacognition among high school students. (shrink)

Robots as social companions in close proximity to humans have a strong potential of becoming more and more prevalent in the coming years, especially in the realms of elder day care, child rearing, and education. As human beings, we have the fascinating ability to emotionally bond with various counterparts, not exclusively with other human beings, but also with animals, plants, and sometimes even objects. Therefore, we need to answer the fundamental ethical questions that concern human-robot-interactions per se, and we need (...) to address how we conceive of »good lives«, as more and more of the aspects of our daily lives will be interwoven with social robots. (shrink)

The ability to solve problems is a prerequisite in preparing mathematics preservice teachers. This study assessed preservice teachers’ problem-solving difficulties and performance, particularly in worded problems on number sense, measurement, geometry, algebra, and probability. Also, academic profile differences in the preservice teacher’s problem-solving performance and common errors were determined. A descriptive-comparative research design was employed with 158 random respondents. Data were gathered face-to-face during the first semester of the school year 2022-2023, and data were analyzed with the aid of jamovi (...) software, ensuring ethical measures. Overall findings revealed that the preservice teachers experienced average difficulty in solving problems. The low performance of the preservice teachers on the given problems was also demonstrated. Further analysis revealed a significant difference between the preservice teachers’ problem-solving performance based on their subject preference and program. Moreover, the error analysis revealed that the preservice teachers incurred comprehension errors in misrepresentation, misinterpretation, and miscalculation. These results will serve as a measure for policymakers and curriculum developers of the teacher education institution concerned to make relevant enhancements to the math courses offered in the elementary and secondary education programs. (shrink)

Mathematical confidence and critical thinking are essential in preparing preservice teachers. Thus, this study explored the perceived confidence and critical thinking levels in mathematics of elementary and secondary preservice teachers. A descriptive-correlational-comparative research design was employed, with a sample of 107 randomly selected preservice teachers enrolled in the Bachelor in Elementary and Secondary Education programs of a state university in West Philippines. The study used arithmetic mean, standard deviation, Spearman’s rank-order correlation, and independent samples t-test to analyze and draw conclusions (...) from the data. The findings revealed that the preservice teachers have high confidence and critical thinking skills. Their program significantly correlates with their perceived critical thinking and confidence level. Besides, the preservice teachers’ confidence levels and perceived critical thinking skills significantly correlate. Further analysis found significant confidence and critical thinking differences favoring the secondary over the elementary preservice teachers. These findings provide insights that would benefit mathematics educators in providing priority programs to enhance the preparation of future math teachers. (shrink)

Esta edição contém a única transcrição estudantil sobrevivente das Lições de Metafísica de Kant da década de 1770. A Lição foi ministrada o mais tardar no inverno de 1779/80 e, portanto, antes mesmo da publicação da Crítica da Razão Pura (1781). Um exceção é, contudo, a parte sobre a ontologia que seguramente se remonta a uma Lição que Kant ministrou depois de 1781. Estas transcrições de Lições são de valor inestimável para a história do desenvolvimento da filosofia de Kant e, (...) em especial, para a gênese de sua Crítica da Razão Pura . Elas representam também um complemento importante para suas outras Lições, como por exemplo, as de antropologia, nas quais Kant também se ocupou com as questões da psicologia empírica e racional. É interessante observar que Kant se serve de métodos distintos, nas Lições de Antropologia e de Metafísica, para demonstrar a substancialidade e a imortalidade da alma. Embora Kant ainda leve a doutrina da alma da psicologia racional muito a sério na Metafísica-Pölitz, ele rejeitará de fato suas pretensões de conhecimento pouco tempo depois na Crítica na seção sobre os paralogismos da doutrina pura da alma. Aquele que deseja se aprofundar na filosofia de Kant e conhecer seu contexto histórico-filosófico não pode deixar de ler as Lições de Metafísica-Pölitz. Heiner F. Klemme Martin-Luther-Universität Halle-Wittenberg. (shrink)

No centro da filosofia moral de Kant está sem dúvida sua doutrina do imperativo categórico. Por esse motivo não é de se surpreender que a Fundamentação da Metafísica dos Costumes (1785), na qual Kant explica, em detalhes, essa doutrina pela primeira vez, tenha sido o foco da atenção por décadas. Mas há alguns anos é observável uma significativa mudança na literatura que é univocamente bem vinda: ao lado da pesquisa das Doutrinas da Virtude e do Direito publicadas por Kant nos (...) anos noventa do século 18, agora também são intensamente estudadas suas perspectivas filosófico-morais desenvolvidas antes de 1781. Nesse sentido assume uma posição de destaque o manuscrito estudantil de uma lição de ética ministrada no meio dos anos 70, que é publicada aqui, em língua portuguesa, pela primeira vez em uma tradução comentada. Ainda hoje, esta lição serve como uma introdução à ética de Kant, muito embora pareça divergir, em alguns aspectos, da doutrina crítica do imperativo categórico. As Lições de Ética são um „trabalho em andamento“. Por um lado, somos capazes de assistir Kant "pensando" e compreender como ele se reporta ao livro de Alexander Baumgarten sobre os Príncípios da Metafísica Prática (Initia philosophiae practicae primae, 1760). E, por outro lado, somos capazes de vivenciar como ele desenvolve suas próprias perspectivas filosófico-morais em contraste a Baumgarten. Para todos que se interessam pela filosofia moral de Kant e pela história da ética na época da Aufklärung, o estudo desse manuscrito é indispensável. -/- Heiner F. Klemme (Martin Luther Universität - Halle-Wittenberg) . (shrink)