Teaching – Page 2 – Barry Dequanne

Importance of Play

“You can discover more about a person in an hour of play than in a year of conversation.”

It is not clear if Plato was applying these words to education but they are, nevertheless, apropos to our contemporary work in schools. With the focus on grades, curriculum coverage, and standardized testing in schools, there is a concern that the value of play and the corresponding intrinsic benefits may be lost due to a focus on learning that is too narrow in scope. To be clear, I am not diminishing the importance of academic excellence, rigor, discipline, and high standards in any way, as they represent the cornerstones of any effective educational program. I am, however, highlighting the importance of providing students of all ages with the opportunity for play.

Recommended Blog Post – Play: Is it Becoming Extinct?

Recent EAB events highlighted and reminded me of the significance of learning from play. The first event occurred during a high school assembly when student leaders, with a focus on further building school spirit, were preparing the grade levels for a friendly competition. It was not the competition but rather the student learning that was prominent. Students were required to effectively collaborate, strategize, communicate, and strengthen relationships. The student organizers were impressive as they coordinated an entire high school, saw to all details, and comfortably led the process, further developing very important skill sets.

The Club EAB program highlighted another important aspect of play. As part of the afterschool offerings, high school students work with younger students in activities that include robotics, cooking, rugby, ballet, and band, to name a few. This week, I was observing the basketball activity and noted the serious focus of the students, the building of relationships, and the kind, supportive, and patient nature of the student leaders. To put it another way, a high level of emotional intelligence is developed and exhibited through the Club EAB program.

Factors associated with emotional intelligence are the keys to conflict resolution. During the course of a year, it is inevitable that there will be minor conflicts among students during recess and play, which is an element of our human nature. What is fundamental for students, however, is the ability to develop high levels of empathy, understanding, listening skills, self-advocacy, and conflict resolution skills. In a recent survey conducted in the United States, respondents were asked to name the most important long-term goals of K-12 education. By a large margin, respondents ranked building character above all other goals, including preparing students for the workforce.

Recommended Video – Emotional Intelligence

Finally, the last event influencing the motivation for this post was the faculty-student softball game. While the dominant student victory was a stark reminder that the faculty’s glory days in sport may be behind us (at least, I speak for myself), the game was also a reminder of the importance of teamwork, humility, grit, commitment, and preparedness. In addition, sport teaches us about the significance of goals that are beyond us and, in turn, how to win and lose with dignity and grace.

If EAB is to achieve its mission to “cultivate responsible and contributing citizens and leaders,” then the concept of learning from play must work in conjunction with our paramount focus on academic excellence.

Featured image: cc licensed ( CC BY-NC-ND 2.0 ) flickr photo by Matthew Loberg: http://www.flickr.com/photos/mloberg/4139266516/

“Você pode descobrir mais sobre uma pessoa em uma hora de jogo do que em um ano de conversa.”

Não está claro se Platão estava aplicando estas palavras a educação, mas elas são, no entanto, o propósito do nosso trabalho contemporâneo nas escolas. Focando nas notas, currículo e testes padronizados, existe a preocupação de que o valor do jogo e os benefícios intrínsecos correspondentes possam ser perdidos devido ao foco na aprendizagem, que é muito estreito em seu escopo. Para ser claro, não estou diminuindo a importância da excelência acadêmica, do rigor, da disciplina e dos padrões elevados, uma vez que representam os pilares de um programa educacional eficaz. Estou, no entanto, destacando a importância de proporcionar aos alunos de todas as idades a oportunidade de jogar.

Leitura recomendada do blog – Play: Is it Becoming Extinct?

Os eventos recentes da EAB destacaram e me lembraram da importância do aprendizado do jogo. O primeiro evento ocorreu durante uma assembleia da escola, quando líderes estudantis, com foco na construção de um espírito escolar, estavam preparando as séries para uma competição amigável. Não era a concorrência, mas sim o aprendizado do aluno que era proeminente. Os alunos eram obrigados a colaborar de forma eficaz, com estratégias, boa comunicação ,além de fortalecer relacionamentos. Os alunos que estavam organizando impressionaram com a forma como coordenaram toda a escola, cuidando de todos os detalhes, e liderando o processo confortavelmente, além de desenvolver ainda mais habilidades muito importantes.

O programa Clube EAB destacou outro aspecto importante do jogo. Como parte das ofertas depois da escola, os alunos do ensino médio trabalham com os alunos mais jovens em atividades que incluem robótica, culinária, rugby, ballet e banda, entre outros. Esta semana, eu estava observando o basquete e percebi a concentração dos alunos, a construção de novas relações, além do apoio e da paciência da liderança estudantil. Dito de outra forma, um alto nível de inteligência emocional é desenvolvido e exibido através do programa Clube EAB.

Fatores associados à inteligência emocional são a chave para a resolução de conflitos. Durante o ano, é inevitável que haja pequenos conflitos entre os alunos durante o intervalo e os jogos, pois fazem parte da nossa natureza humana. O que é fundamental para os alunos, no entanto, é a capacidade de desenvolver altos níveis de empatia, compreensão, capacidade de escuta, de auto-defesa e habilidades para resolver conflitos. Em uma recente pesquisa (survey) realizada nos Estados Unidos, os entrevistados foram convidados a nomear os objetivos mais importantes a longo prazo na educação K-12. A maioria dos entrevistados classificaram a construção do caráter, acima de todos os outros objetivos, incluindo a preparação dos alunos para o mercado de trabalho.

Vídeo recomendado – Emotional Intelligence

Finalmente, o último evento que me motivou para escrever essa mensagem foi o jogo de softball entre os alunos e o corpo docente. Enquanto a vitória dos alunos foi um claro lembrete de que a glória do corpo docente nos esportes ficou pra trás (pelo menos pra mim), o jogo também mostrou a importancia do trabalho em equipe, da humildade, coragem, compromisso e preparação . Além disso, o esporte nos ensina sobre a importância das metas que estão além de nós e, por sua vez, como ganhar e perder com dignidade e graça.

Se EAB conseguir atingir a sua missão de “cultivar cidadãos e líderes responsáveis e contribuintes”, então o conceito de aprendizagem do jogo deve ser trabalhado em conjunto com o nosso foco primordial na excelência acadêmica.

Featured image: cc licensed ( CC BY-NC-ND 2.0 ) flickr photo by Matthew Loberg: http://www.flickr.com/photos/mloberg/4139266516/

Professional Learning Community

EAB’s mission statement ends with the phrase, “we cultivate … a strong foundation of academic excellence,“ which serves as a mantra to guide all programmatic decisions, pedagogical approaches, and professional development strategies. Arguably, the professional development component has the strongest correlation with academic excellence and student achievement. To that end, EAB has made a commitment to embracing professional development ideals within the context of a learning community. Since the start of school in January, EAB’s teachers have dedicated themselves to trainings, meetings, and workshops, including a full day of internal professional workshops, where more than 50 teachers shared their expertise, to committing 16 hours one weekend to mathematics professional development, to Professional Wednesdays, to after school and evening trainings, among others.

In last week’s Bull-It, I referred to the work of John Hattie, whose book Visible Learning: A Synthesis of Over 800 Meta-Analyses Relating to Achievement, which has provided educators with a deeper understanding of what works in education. In the article Know Thy Impact: Teaching, Learning, and Leading, which summarizes the main ideas of Hattie’s work, the author presents eight mind frames that should underpin every decision made by the school. One of the most important outcomes of this research is a summary of the meta-analysis of teaching effects that includes the influences and effect sizes related to student achievement. To say the least, the list has provided for rich conversations among educators.

Returning to our discussion about professional development at EAB, the focus of the faculty’s work has been on a continuous improvement approach to effectively address the key items in Hattie’s list. By way of example, one of EAB’s school-wide goals for the next two years is assessment, which is also one of the foci of today’s professional half day. One of the reasons for EAB’s focus on assessment is due to Hattie’s meta-analysis, which lists formative evaluation, a key component of assessment, as having the most significant effect related to student achievement.

Based on current research in education, professional development at EAB is designed such that the focus is on the areas that represent the greatest potential to positively impact student learning.

Comunidade de Capacitação Profissional

A missão da EAB termina com a seguinte frase, “nós cultivamos … uma base sólida de excelência acadêmica”, que serve como um mantra para orientar todas as decisões programáticas, abordagens pedagógicas e estratégias de capacitação profissional.Indiscutivelmente, o componente da capacitação profissional tem maior correlação com a excelência acadêmica e o desempenho do aluno.

Com essa finalidade, a EAB assumiu um compromisso significativo de abraçar os ideais da capacitação profissional no contexto de uma comunidade de aprendizagem. Desde o início das aulas em janeiro, os professores da EAB tem se dedicado aostreinamentos, reuniões e oficinas, incluindo um dia inteiro de workshop profissional interno, onde mais de 50 professores compartilharam a sua experiência durante 16 horas em um fim de semana para seu desenvolvimento profissional em matemática,além dos treinamentos às quartas-feiras , depois da escola e os treinamentos que acontecem à noite, entre outros.

No Bull-It da semana passada, eu falei sobre o trabalho de John Hattie, cujo o livro: A Visible Learning: A Synthesis of Over 800 Meta-Analyses Relating to Achievement , forneceu aos educadores um grande entendimento sobre o que funciona na educação. No artigo Know Thy Impact: Teaching, Learning, and Leading, que resume as principais ideias do trabalho de Hattie, o autor apresenta oito convicções que deveriam basear todas as decisões tomadas pela escola. Um dos resultados mais importantes dessa pesquisa é um resumo da meta-análise dos efeitos do ensino, que inclui as influências e tamanhos dos efeitos relacionados com o desempenho do aluno. No mínimo, a lista previu conversas valiosas entre os educadores.

Voltando à nossa discussão sobre a capacitação profissional na EAB, o foco do trabalho do nosso corpo docente foi em uma abordagem de melhoria contínua para enfrentar de forma eficaz, os principais itens na lista de Hattie. A título de exemplo, um dos objetivos da EAB para os próximos dois anos é o tema avaliação, que foi também um dos focos da nossa capacitação de hoje.Uma das razões para o foco da EAB nesse tema deve-se à meta-análise de Hattie, que lista a avaliação formativa, um componente-chave de avaliação, como tendo um efeito mais significativo relacionado ao desempenho do aluno.

Com base em uma pesquisa atual em educação, a capacitação profissional na EAB é projetada de tal forma que o foco está sobreas áreas que representam o maior potencial para impactar positivamente a aprendizagem do aluno.

Kindness

During my morning arrival to campus earlier this week, I noticed the presence of a woman standing in front of the school carefully scrutinizing everyone entering EAB. Since I did not recognize the woman and with an obvious concern for security, I approached her and inquired about her presence at the school’s entrance. The woman’s response was not what I expected to hear. Her name was Edith and before sharing her response to my question, we need to first rewind to the start of this school year.

It was a typical beautiful and sunny August morning in Brasilia when two EAB teachers were crossing the street making their way to school to prepare for classes and the day ahead. The peacefulness of the morning was abruptly shattered when they witnessed a gruesome pedestrian accident that left a lone woman seriously injured and in desperate need of immediate medical attention. The two EAB teachers dropped everything and rushed to the aid of the injured woman doing everything possible to comfort and assist her through what could only be described as a traumatic experience for all involved. Our teachers continued to provide support until professional assistance arrived and rushed her to a hospital. Since that fateful moment, we have not received any news about the woman’s status. That is, until this week.

The woman who had the life-threating accident back in August was the same woman who was standing in front of EAB early one morning this week. When I spoke with Edith, she explained that it took several months of rehabilitation and healing before she could walk again. Now that Edith had recovered from her accident, she had come to EAB in the early morning to personally express her profound gratitude with the two teachers who helped her at the time of the accident. Since Edith did not know the teachers’ names, she was standing in front of school endeavoring to identify the teachers who demonstrated such high degrees of compassion and kindness.

There are many important reminders and lessons to highlight from this inspiring event, including the connection to several of EAB’s guiding principles. On that fateful day in August, Edith and EAB’s teachers exemplified our school’s mission to “cultivate responsible and contributing citizens”, modeled the core values of “caring” and “responsibility”, and embodied the ideal of our school’s motto to “cultivate citizenship.” Perhaps the one summative word to best describe the actions of both EAB’s teachers and Edith’s effort to express her gratitude is “kindness.”

Given the prominence of kindness in our society, it is important to reflect on the role that the parent-school partnership plays with respect to developing kindness in students. While there is much debate about the teaching of kindness, I am a firm believer that the characteristics associated with kindness can be taught through our own modeling in conjunction with deliberate instructional practices. The BBC recently published an article titled, “Making Time: Can We Teach Kindness?”, which overviews several experiments that demonstrate how external factors and influences, such as modeling, affects a person’s degree of kindness. This research clearly supports the belief that kindness can be developed in youth and, given the paramount importance of our collective work towards “cultivating responsible and contributing citizens”, the school-parent partnership to both model and instruct has never been more essential.

An apparently simple act by two EAB teachers has left an indelible impression on Edith that will last a lifetime. Through our own modeling and instruction, we hope, nay, expect, that our students will continue to exemplify EAB’s ideals through their own acts of kindness and gratitude. Moreover, it is through these seemingly simple acts that we not only improve the quality of our own lives but also make a positive difference in the lives of others and, expectantly, in our greater community. Thank you to Edith for modeling gratitude and thank you to EAB’s teachers for modeling an essential element of our school’s mission and purpose.

Gentileza

Ao chegar cedo à escola essa semana, percebi a presença de uma mulher parada em frente à escola e examinando cuidadosamente todos que estavam entrando na EAB. Como não a reconheci e, obviamente, aquilo me preocupou devido à segurança na escola, aproximei-me dela e questionei sua presença. A resposta dela não foi o que eu esperava ouvir. Seu nome é Edith e, antes de dividir a sua resposta, precisamos voltar ao início desse ano letivo.

Era um típico dia bonito e ensolarado, em uma manhã de Agosto em Brasília, quando dois professores da EAB estavam atravessando a L2 Sul, em seu caminho para escola, se preparando para aula e para o dia que eles teriam adiante. A tranquilidade da manhã foi, abruptamente, abalada quando eles testemunharam um acidente horrível, que deixou uma pedestre solitária, gravemente ferida e precisando desesperadamente de ajuda médica imediata. Os dois professores da EAB largaram tudo e correram para ajudar a mulher ferida, fazendo todo o possível para confortá-la e ajudá-la, nesta situação que só poderia ser descrita como uma experiência traumática para todos os envolvidos. Nossos professores continuaram a prestar apoio até que a assistência profissional chegou e a levou imediatamente para um hospital. Desde aquele momento fatídico, não recebemos qualquer notícia sobre a situação da mulher. Isto é, até esta semana.
A mulher que teve a vida ameaçada pelo acidente em agosto era a mesma mulher que estava em pé na frente da EAB logo cedo em uma manhã desta semana. Quando falei com Edith, ela explicou que foram vários meses até a sua reabilitação e cura, antes que ela pudesse voltar a andar. Agora que Edith havia se recuperado de seu acidente, ela veio a EAB, no início da manhã, para expressar, pessoalmente, sua profunda gratidão com os dois professores que a ajudaram no momento do acidente. Até então, Edith não sabia o nome deles, apenas estava de pé na frente da escola se esforçando para identificar os professores que demonstraram tanta compaixão e bondade.
Há muitas lembranças e lições importantes a destacar a partir deste evento inspirador, incluindo a conexão com vários dos princípios orientadores da EAB. Naquele dia fatídico, de agosto, os professores da EAB e a Edith exemplificaram a missão da nossa escola “cultivar cidadãos responsáveis e contribuintes”, revelando os valores fundamentais de “cuidado” e “responsabilidade”, e incorporaram o ideal do lema da nossa escola “cultivar a cidadania”. Talvez a melhor palavra para descrever as ações de ambos os professores da EAB e o esforço da Edith para expressar sua gratidão seja “bondade”.

Dada a importância da bondade em nossa sociedade, é importante refletir sobre o papel que a parceria entre pais e escola desempenha no que diz respeito ao desenvolvimento desse sentimento nos estudantes. Embora haja muito debate sobre o ensino da bondade, eu acredito, firmemente, que as características associadas com a bondade podem ser ensinadas através do nosso próprio exemplo, em conjunto com práticas pedagógicas deliberadas. A BBC publicou recentemente um artigo intitulado “Making Time: Podemos ensinar Bondade?”, que dá uma visão geral de várias experiências que demonstram como fatores e influências externas, tais como o exemplo, afeta o grau de bondade de uma pessoa. Esta pesquisa apóia claramente a crença de que a bondade pode ser desenvolvida na juventude e, dada a importância fundamental do nosso trabalho coletivo no sentido de “cultivar cidadãos responsáveis e contribuintes”, a parceria família-escola, tanto como modelo quanto como meio de instrução, nunca foi tão essencial.

Um ato aparentemente simples de dois professores da EAB deixou um sentimento em Edith que vai durar uma vida inteira. Através do nosso próprio exemplo e instrução, esperamos, ou melhor, desejamos que os nossos alunos continuem a exemplificar os ideais da EAB através de seus próprios atos de bondade e gratidão. Além disso, é por meio desses atos, aparentemente simples, que não só melhoramos a qualidade de nossas própias vidas, mas também fazemos uma diferença positiva na vida dos outros e em nossa comunidade. Agradeço a Edith, pelo exemplo de gratidão, e aos professores da EAB pela demonstração desse elemento essencial da missão e propósito da nossa escolar.

Featured image: cc licensed ( BY NC ND 2.0 ) flickr photo by Molly (moominmolly): http://www.flickr.com/photos/moominmolly/2533284776/

Opportunities and Challenges

It is not hyperbole to state that educational systems and pedagogical approaches are in the throes of a revolution. While most of us accept the premise that we are in the midst of a historical transformation in education, the challenge is to make sense of these changes while also seeking to find our own footing in the constantly shifting technological and societal sands. I have no doubt that historians will look back at this time as a watermark moment in the evolution of schools, pedagogy, and learning.

These reflections were sparked by an article about education that I recently reread called, 21 Things that Will be Obsolete by 2020. The common theme linking the 21 declarations is the pervasive influence of technology, not as an extension to support learning but as a foundational platform and tool that will be as common as working with paper and a pencil.

In a typical 21st century learning fashion, I casually clicked on a seemingly interesting link that took me to another essay called, Three Trends That Define the Future of Teaching and Learning. This author argues that three key trends – collaborative, tech-powered, and blended – will frame the transformation of education. There are compelling arguments in support of this claim, especially the concept of blended learning, where teachers embrace students’ online and connected proclivity towards the learning process.

While writing this article, I clicked on yet another link with the title, How Does Multitasking Change the Way Kids Learn? I read the article, somewhat self-consciously, acknowledging that my multitasking at that moment may not have been the most efficient use of my time. You see, the article seeks to answer the question of whether or not our brains are able to effectively multitask. As with all similar research, the article is unequivocal in concluding that we are not capable of effectively multitasking beyond the simplest activities. The research has also clearly concluded that multitasking leads to a series of negative outcomes while doing schoolwork.

So, what does this all mean? As with any large-scale transformative experience, there are currently more questions than answers in the field of education. While this is an exciting time, there is also a degree of trepidation among educators and parents alike. The elements of education that will become obsolete by 2020 are the same elements that were the foundations of the education of today’s adults. To say the least, it is a challenge to manage current changes while also overcoming our past to establish educational programs for an unknown future.

EAB is committed to embracing this time of change through innovative and creative approaches to teaching and learning. The focus on the implementation of collaborative, tech-powered, and blended teaching trends is central to our professional development discussions. The impact of technology on student learning, including issues related to multitasking, is an area that continues to influence our instructional practices and curriculum development. Likewise, it is within these new paradigms that we seek ways to continue to successfully work with students in the areas of service and leadership, while also developing skills associated with conflict resolution, decision making, empathy, communication, and character building, among others.

If parents and teachers are to model the ideal of life-long learners, then there is no better time to do so than now, especially in the context of a transformative moment in the history of education. Our students count on the continued partnership and commitment among parents and teachers to embrace new challenges and focus on a continuous learning model that seeks to provide the best educational program possible. It is these challenges that make our collective work so important and exciting.

Oportunidades e Desafíos

Não é exagero afirmar que os sistemas de ensino e abordagens pedagógicas estão no meio de uma revolução. Enquanto a maioria de nós aceita a premissa de que estamos no meio de uma transformação histórica na educação, o desafio é dar sentido a essas mudanças e ao mesmo tempo tentar encontrar o nosso próprio pé nas areias tecnológicas e sociais em constante mudança. Não tenho dúvidas de que os historiadores olharão para trás neste momento como um momento marcante na evolução das escolas, pedagogia e ensino.

Estas reflexões foram desencadeadas por um artigo sobre educação que eu reli recentemente chamado, 21 coisas que estarão obsoletas em 2020. O tema comum que liga as 21 declarações é a ampla influência da tecnologia, não como uma extensão para apoiar a aprendizagem, mas como uma plataforma fundamental e uma ferramenta que será tão comum como trabalhar com papel e lápis.

Em uma forma de aprendizado típico do século 21, eu cliquei casualmente em um link, aparentemente interessante, que me levou para outro ensaio chamado: Três Tendências que Definem o Futuro do Ensino e Aprendizagem. Este autor argumenta que as três tendências principais – colaboração, tech-powered, e harmonização, vão enquadrar a transformação da educação. Existem argumentos convincentes em apoio desta afirmação, especialmente os conceitos de ensino harmonizado, em que os professores adotam o processo de aprendizagem dos alunos, online e conectando as tendências.

Enquanto escrevia este artigo para o Bull-It, eu cliquei em mais um link com o título: Como a Multitarefa Muda a Maneira Como as Crianças Aprendem? Eu li o artigo, um pouco autoconsciente, reconhecendo que a minha maneira de realizar várias tarefas, naquele momento, não foi o uso mais eficiente do meu tempo. O artigo procura responder se o nosso cérebro é ou não é capaz de realizar várias tarefas de forma eficaz. Tal como acontece com todas as pesquisas semelhantes, o artigo é inequívoco, mostra a conclusão de que não somos capazes de, efetivamente, desempenhar várias tarefas, além das atividades mais simples. A pesquisa também conclui claramente que a multitarefa leva a uma série de resultados negativos, em relação a fazer um trabalho escolar.

Então, o que isso tudo significa? Como acontece com qualquer experiência transformadora em larga escala, atualmente existem mais perguntas do que respostas no campo da educação. Enquanto este é um momento emocionante, há também um certo grau de ansiedade entre os educadores e pais. Os elementos da educação que se tornarão obsoletos em 2020 são os mesmos elementos que foram os alicerces da educação dos adultos de hoje. Para dizer o mínimo, é um desafio gerenciar as mudanças atuais e ao mesmo tempo superar nosso passado para estabelecer programas de educação para um futuro desconhecido.

A EAB está empenhada em abraçar este momento de mudança por meio de abordagens inovadoras e criativas para o ensino e aprendizagem. O foco sobre a implementação das tendências pedagógicas colaborativas, “tech-powered”, e ensino harmonizado são fundamentais para as nossas discussões de desenvolvimento profissional. O impacto da tecnologia no aprendizado dos alunos, incluindo questões relacionadas à multitarefa, é uma área que continua influenciando as nossas práticas de ensino e de desenvolvimento curricular. Da mesma forma, é dentro desses novos paradigmas que buscamos formas de continuar a trabalhar com sucesso dos alunos nas áreas de serviço e liderança, além de desenvolver competências associadas à resolução de conflitos, tomada de decisão, empatia, comunicação e construção de personagem, entre outros.

Se os pais e professores querem moldar o ideal de alunos aprendizes ao longo da vida, então não há momento melhor para fazer isso do que agora, especialmente no contexto de um momento de transformação na história da educação. Nossos alunos contam com a parceria contínua e compromisso entre os pais e professores para abraçar novos desafios e se concentrar em um modelo de aprendizagem contínua, que visa proporcionar o melhor programa educacional possível. São estes os desafios que tornam o nosso trabalho coletivo tão importante e emocionante.

Featured image: cc licensed ( CC BY NC SND 2.0 ) flickr photo by Dean Terry: http://www.flickr.com/photos/therefore/4101567511/

Learning Mathematics

Erma Anderson’s professional development work with our faculty this week left me with three reflections about the learning of mathematics and the Common Core.

Number Sense

Let us start with a quick math quiz. Quickly answer the following question relying only on your sense of numbers (i.e. do not calculate the exact value):

If you are “one billion seconds “old, then you have lived for approximately 31 years. How long have you lived if you are “one million seconds” old?

Many people find the answer to be shocking, highlighting some of the challenges we face associated with number sense. When we speak of budgets, populations, and exponential growth in the billions, do we really have a sense of what the numbers mean?

To answer the question above, “one million seconds” equates to 11 days, as compared to a billion seconds equating to 31 years. Extending this example, “one trillion seconds” is approximately equal to 32,000 years! These numbers hopefully put the concept of a trillion dollar debt into a different perspective.

Students usually do not develop a strong sense of numbers by blindly following algorithmic procedures or memorizing formulas without developing a deeper sense of the numbers they work with during their studies. While algorithmic procedures the memorization of formulas have their place in mathematics, it is only through a deeper conceptual knowledge of mathematics that an enduring understanding of mathematics will be achieved. If more people learned mathematics this way, perhaps there would be less of a negative stigma highlighted by adults and students and their learning of mathematics.

Ways of Knowing

To achieve enduring understandings, mathematics must be taught in a manner that requires students to interact with concepts in a variety of manners, including visual, contextual, algorithmic, procedural, and theoretical, among others. The common theme, however, is that the learning must ensure a strong conceptual understanding. By way of example, if you ask adults to state the quadratic formula, few of us will be able to do so correctly. However, if these same adults understood where the quadratic formula comes from and how to derive it from first principles, then the likelihood of being able to correctly state the quadratic formula is very high. We must move from memorization, as the focus, to strong conceptual understandings.

Teaching of Mathematics

During a conversation with Erma Anderson, we discovered that we both experienced a similar “learning” moment at the start of our respective teaching careers. We both majored in mathematics at university and graduated as mathematicians before choosing a career in education. While teaching our first calculus classes, we, like so many other teachers, came to a stark realization. While we could always “do” mathematics very well, our deeper conceptual understanding of the subject was questioned, for the first time in our careers, through the challenge of teaching the conceptual understanding of calculus. Whether teachers admit it or not, most educators go through a similar experience as it is one thing to be able to “do” mathematics but quite another to be able to explain your understanding of these same concepts. Our responsibility as teachers is to continuously seek ways to better understand our subjects while also finding ways to effectively work with students so that they develop their own deep and meaningful conceptual understandings.

This is an exciting time at EAB as our teachers are dedicating a significant amount of time and energy towards the ongoing development of a strong mathematics curriculum and, in parallel, the ongoing development of our collective teaching practices.

Featured image: cc licensed ( BY NC SA 2.0 ) flickr photo by Tom Magliery: http://www.flickr.com/photos/mag3737/6266477735/

The Learning Process

Last week, I was invited by a group of EAB students to participate in a formal debate over whether or not cell phones should be allowed in classrooms. While listening to the students’ arguments for and against the proposition, I reflected, as I often do, on the process of learning and what constitutes effective instruction. While the issues associated with the use of technology in education are complex, it was the process the students were embracing that was of most interest. Preparing a rational and researched defense of their argument that will pass the scrutiny of their peers is no easy feat. The fact that there is no clearly defined response to the cell phone proposition is emblematic of the issues we often face as adults; meaningful and important problems are rarely categorized as simple, binary black and white options, but rather reside in the awkward grey areas.

The critical thinking element of the learning process is arguably one of the most important skills students can develop, especially when navigating the challenges associated with establishing informed opinions about issues that fall into the thorny grey areas. It was, therefore, reassuring to hear an EAB alumna, speaking at today’s high school assembly about her transition to university, highlight this very point through the following statement: “EAB prepared me for the expectations of an UnB teacher: proactivity and critical thinking.”

Critical thinking is a focus area that is prioritized at EAB. While it is often easier to deal with categorical problems that can easily be pigeonholed, a more essential learning process involves a commitment to thinking deeply about complex issues and forming an educated and defensible opinion. However, this deeper form of learning is only achieved through a higher degree of commitment, perseverance, patience, and deferred gratification.

The question of deferred gratification was examined in a Stanford University experiment conducted more than 40 years ago. Young children were left alone in a room with one marshmallow sitting on plate in front of them. The children were told that if they did not eat the marshmallow while the adult was not present, then the child would receive a second marshmallow when the adult returned. Of the 600 children who participated in the experiment, approximately one third were able to delay gratification by not eating the marshmallow, who were then rewarded with a second marshmallow. While it appeared to be a simple experiment, the consequences associated with the ability to delay gratification were significant. Over the next 30 years, the researchers followed the students as they matured into adulthood and discovered a very strong correlation such that the students who waited had ended up with better grades and higher SAT scores, were healthier and in better physical shape, enjoyed more successful relationships, and achieved greater professional success. The implications related to the ability to delay gratification have had a significant influence on education and learning. [More information about the “marshmallow experiment” can be found via the following links: Businessweek, New Yorker, TED]

Returning to the cell phone debate, it was intriguing to hear one of the students comment on her inability to control a tendency to check her cell phone every few minutes for messages, which the group concurred represented a distraction that everyone in the room also found to be a challenge. The concept of delayed gratification was a prominent feature with the use of cell phones in this class, as it also seems to be with many of us.

The cell phone debate ended with both student groups presenting compelling arguments for and against the use of cell phones in the classroom. Beyond the debate, however, it was the instructional practice that I found to be the most intriguing aspect of the class. Students were developing the skills to delay gratification through the process of learning how to think critically about a complex issue, rather than blindly accepting a simple “yes” or “no” response, and publicly articulating their refined thoughts in a passionate and articulate manner. It was learning at its best.

Featured image: cc licensed ( BY NC ND 2.0 ) flickr photo by Octavio Solórzano: http://www.flickr.com/photos/octaviosolorzano/5010443243/