Early statistics in kindergarten: analysis of an educator's pedagogical content knowledge in lessons promoting informal inferential reasoning

PurposeThis study aims to describe the pedagogical content knowledge (PCK) of a kindergarten educator who implements a lesson plan about informal inferential reasoning designed in a lesson study group.Design/methodology/approachTo this end, we analyzed teaching interventions in two kindergarten lessons focused on the playful task of tossing two coins, associated with inferential statistical reasoning. The study highlights the importance of arguing and promoting this reasoning to develop statistical thinking. It is crucial to recognize how early students can be subject to learning experiences that promote a language of uncertainty, assess the evidence provided by the data, and make generalizations.FindingsThe results reveal that while the educator demonstrated knowledge and skills relevant to the curriculum and conceptual teaching strategies, the understanding of the content by the students and the integration of the PCK components still present a challenge.Practical implicationsThe lesson study collaborative teaching practices that promote PCK have proven effective for informing the design and implementation of instructional practices supporting the development of early statistical thinking in young children.Originality/valueThe study enriches the knowledge regarding the potential of the lesson study (LS) in the professional learning of kindergarten educators. It also contributes to a comprehensive approach based on authentic playful experiences in grade K that supports the development of early statistical thinking in young children.

Importance of statistical thinking in engineering and its relation to complex and creative thinking with complex and creative thinking

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DEVELOPING “RECOGNITION OF NEED FOR DATA” IN SECONDARY SCHOOL TEACHERS

This paper describes the evolution of “recognition of need for data” and “strategical thinking”, two types of thinking identified by Wild and Pfannkuch in their Framework for Statistical Thinking in Empirical Enquiry, as well as its relevance for math teacher professional development. The research was carried out with ten in-service secondary-school math teachers during an educational experience (at Bogotá, Colombia), who, in the beginning, showed high performance in procedural knowledge of data analysis. The experience was founded on project based learning that participants proposed and conducted via a survey concerning implications of a Bill, relevant for their job context. These teachers made mistakes and showed difficulties during the two first stages of the investigative cycle, problem formulation, and research planning, due possibly to their inexperience in designing an empirical inquiry. Teacher educator’s guidance, to turn mistakes into learning opportunities and teachers’ active participation, promoted the development of statistical thinking, especially linked to the types aforementioned. Abstract: Spanish Este artículo describe el desarrollo de “reconocimiento de la necesidad de los datos” y “pensamiento estratégico”, dos de modos de razonamiento identificados por Wild y Pfannkuch (1999) en su marco para pensamiento estadístico en investigación empírica, así como su importancia en la formación de profesores de matemáticas. La investigación se lleva a cabo con diez profesores de matemáticas en ejercicio, durante una experiencia de formación (Bogotá, Colombia), quienes al inicio del curso mostraron un buen nivel de conocimiento procedimental en análisis de datos. En el marco del Aprendizaje Basado en Proyectos, los profesores propusieron y desarrollaron una encuesta relacionada con las implicaciones de la implementación de un proyecto de ley, relevante para ellos. Los profesores cometieron errores y mostraron dificultades durante las dos primeras partes del ciclo investigativo, formulación del problema y planeación de la investigación, debido a su falta de experiencia en la formulación de un estudio empírico. La orientación del formador, para convertir las debilidades en oportunidades de aprendizaje, y la participación activa de los profesores favorecieron el desarrollo de razonamiento estadístico, especialmente asociado a los dos tipos de razonamientos ya mencionados.

Breiman's "Two Cultures'' Revisited and Reconciled

This paper introduces a new data analysis framework, called Integrated Statistical Learning (ISL) theory, which offers solutions to blend the "two cultures" into a coherent whole by establishing a link between them. Through examples, we describe the challenges and potential gains of this new integrated statistical thinking.

Breiman's "Two Cultures'' Revisited and Reconciled

This paper introduces a new data analysis framework, called Integrated Statistical Learning (ISL) theory, which offers solutions to blend the "two cultures" into a coherent whole by establishing a link between them. Through examples, we describe the challenges and potential gains of this new integrated statistical thinking.

EMOS reloaded: Unlock the future of education in official statistics with a new partnership with Universities

After 12 years of EMOS experience it is time to open the discussion on the future of EMOS. This papers briefly describes the experience from the perspective of the Universities, trying also to describe the needs and role of the NSIs, Banks and other possible actors to join the network, and unlock the future. EMOS should reload (or evolute) to stay current and attractive. Statistical ’thinking’ evolved and a major change and challenge for EMOS is to pick up this trend in its cooperation with the universities.

Visualizing the Arithmetic Mean

The two provided activities are geared for students in middle school to facilitate and deepen their understanding of the arithmetic mean. Through these activities, students analyze visual representations and use a special type of statistical thinking called transnumerative thinking.