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ResumoO presente artigo trata de pesquisas desenvolvidas, ao longo dos últimos cinco anos, pelo Grupo de Estudos em Raciocínio Combinatório do Centro de Educação da Universidade Federal de Pernambuco -Geração. As linhas de investigação do grupo são apresentadas, bem como seus principais referenciais teóricos. Nas investigações realizadas pelo grupo, recursos didáticos são analisados e são apresentados e discutidos resultados de pesquisas desenvolvidas junto a estudantes de distintos níveis e modalidades de ensino, bem como são debatidos estudos realizados com professores da Educação Básica. O conjunto de resultados obtidos possibilita reflexões referentes a como o raciocínio combinatório se desenvolve, quais as dificuldades a serem superadas e como práticas podem ser mais eficientes no ensino de Combinatória. Palavras-chave:Raciocínio combinatório. Estudantes e Professores. Educação Básica. AbstractThis paper presents research carried out over the past five years, by the Grupo de Estudos em Raciocínio Combinatório do Centro de Educação da Universidade Federal de Pernambuco -Geração. The group's research lines are presented in the paper, as well as the main theoretical references used. Investigation by the group on teaching resources are analysed, research results developed with students of different levels and types of education are presented and discussed, as well as studies with K-12 teachers. The set of results obtained enable reflections concerning how combinatorial reasoning develops, what are the difficulties to be overcome and how practices can be more effective in teaching Combinatorics.

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This study addressed the physicochemical characteristics and selected bioactive compounds of tropical fruit pomaces acerola (Malpighia glabra L.), red pitanga (Eugenia uniflora) and jambolan (Syzygium cumini) obtained by spouted bed drying. The dried pomaces presented attractive colors, acidic pH, moisture between 8.3 and 9.7 g/100g, water activity lower than 0.5 and solubility around 40%. The water and ethanol extracts of these fruit powder samples showed high concentration of phenolics (10.1–30.7 mg GAE/g) with relevant DPPH (2,2‐diphenyl‐1‐picrylhydrazyl) antioxidant activity (30.1–36.3 μmol Trolox equivalent/g). Dried jambolan also proved to be an outstanding anthocyanin‐rich product (377.0–478.7 mg cyanidin 3‐glycoside equivalent/100g). In addition, all extracts presented intermediate α‐amylase inhibitory activity (23.9–76.6%) and remarkable in vitro effect against α‐glucosidase (up to 99.3%). Overall, our results show the bioactive and technological potentials of dried acerola, red pitanga and jambolan pomaces as high quality food ingredients with functional attributes. Practical Applications Acerola, red pitanga and jambolan are bioactive‐rich tropical fruits. The fruit processing generates a considerable amount of low‐value fruit pomaces. The motivation for this research was to propose the spouted bed drying as an appropriate strategy to produce food ingredients using the abundant residues of these selected fruits. A relevant concentration of residual bioactive compounds, antioxidant activity and inhibitory activities against key enzymes relevant to the management of early stages of type 2 diabetes were detected in the final dried products. Overall, our results present the spouted bed drying as a promising eco‐friendly process that can be successfully applied to produce value‐added fruit co‐products with potential health benefits. The data presented here constitute the biochemical rationale for the better exploitation of these tropical fruit pomaces.