中文导读 诺丁汉大学心理学系新研究发现：讲授“标准差”时，先给公式还是先做例题、用真实寿命数据还是虚构外星人例子，都没有明显改变学习者的理解或统计焦虑。阅读时可留意 anxiety、equation、experiment、average、standard、adapt、concept、sample 等词，并区分“两种教法效果接近”与“并非一切统计课都已证明等效”。
正文 Many students who study psychology , medicine or law must also learn statistics , yet the subject often feels hard and worrying . On November 5, 2026, the University of Nottingham reported a new study in Psychology Teaching Review that asked a practical question : can teachers cut statistics anxiety , and raise understanding , by changing the order of lessons or the kind of examples they use ?
本段译文 许多修读心理学、医学或法学的学生也必须学习统计学，但这门课常常让人觉得难、令人担心。2026 年 11 月 5 日，诺丁汉大学在《Psychology Teaching Review》上报告的一项新研究提出了一个实际问题：教师能否通过改变授课顺序或例题类型，降低统计焦虑并提高理解？
The researchers focused on standard deviation , a measure of how spread out numbers are around their average . In an online experiment , participants learned the equation for standard deviation and completed a worked example that calculated the value for a set of numbers in Microsoft Excel . One group saw the equation first and then the example . Another group worked through the example first and then learned the equation . The design tested a common classroom habit : presenting an abstract formula before students practice with data
本段译文 研究者聚焦标准差——衡量一组数字围绕平均值离散程度的指标。在一项在线实验中，参与者学习标准差公式，并完成用 Microsoft Excel 计算一组数字标准差的演算例题。一组先看公式再做例题；另一组先做例题再学公式。这一设计检验了一种常见课堂习惯：在学生用数据练习之前，先给出抽象公式。
The team also compared two example styles . One used real-world data on life expectancy from the United Nations . The other used a fun , fictional scene about the heights of aliens from another planet Lead author Dr Kieran Lyon said the study tested whether order or example type would reduce anxiety or improve understanding . Neither change did . Both routes worked about equally well , so educators need not fear that one sequence will automatically harm grades or student comfort
本段译文 团队还比较了两种例题风格。一种使用联合国预期寿命的真实数据；另一种使用趣味虚构情境——外星人身高。第一作者 Kieran Lyon 博士表示，研究检验顺序或例题类型是否会降低焦虑或提高理解。两种改变都没有产生影响。两条路径效果大致相当，因此教育者不必担心某一种顺序会自动损害成绩或学生的舒适感。
Co -author Nikki Dean Marshall , an assistant professor in the School of Psychology , said many students approach statistics with anxiety , so teachers keep looking for ways to make the subject more open . The findings suggest there is no single “right ” way to teach the topic Whether teaching begins or ends with equations , and whether examples are real or imagined , people appeared to learn just as effectively . That result , she argued , gives educators useful flexibility to match materials to their learners instead of searching for one perfect script .
本段译文 共同作者、心理学学院助理教授 Nikki Dean Marshall 说，许多学生带着焦虑接触统计学，因此教师一直在寻找让这门课更易接近的方法。研究结果表明，教这一主题并不存在唯一“正确”的方式。无论教学以公式开始还是结束，也无论例题是真实还是想象的，人们似乎学得同样有效。她认为，这一结果给了教育者有用的灵活性：按学习者需要匹配材料，而不是去寻找一份完美的固定脚本。
The study does not claim that every statistics course is the same , or that anxiety will vanish overnight . It tested one core idea in an online setting , and the university news release did not report the sample size . Still , for teachers who must introduce a concept such as standard deviation , the message is reassuring : choosing equation -first or example-first , and choosing real or playful data , need not harm understanding or raise fear Within those limits , educators can adapt to class needs and keep attention on clear explanation rather than on a rigid teaching order .
本段译文 该研究并不声称每一门统计课都一样，也不声称焦虑会一夜消失。它只在在线情境中检验了一个核心想法，且校方新闻稿未报告样本量。不过，对必须引入标准差这类概念的教师而言，信息仍令人安心：选择“公式优先”或“例题优先”，以及选择真实或趣味数据，未必会损害理解或抬高恐惧。在这些限度内，教育者可以适应课堂需要，把注意力放在清晰讲解上，而不是死守一种僵硬的教学顺序。
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