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Motivating environments in mathematics 2 is the second part of a series of articles on motivating ways of teaching mathematics at the primary school. Zhe article presents a story "Life on a farm in the Jizera mountains" which contains 6 mathematical problems connected with real life. These problems are interconnected by a story about a farmer called Joseph and his family. The problems practise operations with natural numbers. Tasks are aimed for elementary children in Grade 3.
Formatívne hodnotenie je prínosom pre žiacke učenie. Preto má zmysel uvažovať o jeho kvalite ako takej a o kvalite formatívneho hodnotenia, ktoré poskytuje konkrétny učiteľ. V článku predstavujeme rubriky na meranie kvality formatívneho hodnotenia a krátky výskum zameraný na možnosti rastu učiteľov v tejto oblasti pomocou spomínaných rubrík. Tento výskum a jeho závery by mohli podnietiť učiteľov k sebareflexii nad formatívnym hodnotením, ktoré poskytujú svojim žiakom.
Small group mathematics education (especially problem-based learning, project-based learning, cooperative learning, collaborative learning or inquire-based learning) involves a high degree of interaction. Within the small group education, learners work with their classmates to solve complex and authentic problems that help develop content knowledge as well as problem-solving, reasoning, communication, and self-assessment skills. The paper deals with such small group learning methods and their effect...
Vybudování správné představy o čísle nula u žáků 1. stupně se může v učivu matematiky jevit jako obtížný moment. Mnohé výzkumy v minulosti prokázaly, že nejen žáci a studenti, ale i někteří učitelé matematiky mají mylné představy o nule, jejichž důsledkem je chybné zavádění čísla nula v hodinách matematiky. Tento fenomén pak může přispět k výskytu potíží u některých žáků v aritmetice v případech, kdy provádějí operace s nulou nebo s čísly, v jejichž zápisu je nula zahrnuta. Cílem článku je prezentovat...
First, the contribution describes the most significant turning points of the gradual development of recognition in knot theory, then it provides examples of the use of classical knots in history, mentions some pictorial forms of motivation for the inclusion of knot theory in teaching mathematics, presents basic concepts of knot theory suitable for mathematics teaching in the lower years of 8-year secondary grammar school and offers a set of simple tasks in this interesting field of mathematics which...
Článek řeší problém výuky funkcí na gymnáziích, kde je učiva mnoho a čas osvojit si nové znalosti je limitovaný. Popisuje nejčastější problémy, které žáci při studiu funkcí mají. Autorka dále popisuje výukovou metodu, kterou použila, aby žáci lépe pochopili základní pojmy a navazující učivo. Program byl rozdělen do tří fází. Nejprve si měli osvojit základní pojmy. Nejprve žáci řešili úlohy bez znalosti teorie, poté své výsledky zobecnili a nakonec byly zavedeny pojmy na příkladech, kterým žáci porozuměli....
Předmětem článku je fakt, že ve všech věkových kategoriích je matematika vyučována příliš rychle a navíc, že kladené cíle jsou příliš vysoké. To ubírá matematice pro žáka na atraktivitě. Tato skutečnost je prakticky předvedena ve třech článcích. První článek dokumentuje, že dobrý úmysl dítěti pomoci, v některých případech selhává, nedostane-li dítě příležitost si problém osahat a dojít k řešení samo. Druhý článek dokladuje, že konkrétní případ vede žáka sice pomaleji, ale ke správnému řešení. Rychlejší...
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