伯克利数学竞赛喜报｜玩转数学，在团队合作中享受数学！

伯克利数学竞赛是由加州大学伯克利分校的学生领导组织的竞赛，其目标是通过向学生提供有趣、原创的数学问题，在全球范围内推广数学和数学竞赛精神。伯克利迷你数学竞赛（BmMT）在春季举行，是一场面对面的活动，旨在向中学生团队（最高到九年级）传播对数学的欣赏精神，并为他们未来在数学领域更多的发展做好准备。经过三年的在线竞赛，同学们终于有机会在线下见到热爱数学的朋友们，一起享受数学的乐趣！

2023年的BmMT中国赛于5月27日和28日在北京举行。来自全国60多所学校的学生组成了五人一组的团队，参加了四轮不同的比赛。

• 解谜轮是一个团队参与的轮次，包含各种数学挑战，旨在提升归纳推理和横向思考。

• 个人轮包含20个简答题，涵盖了数学竞赛中通常会出现的各种科目，包括但不限于代数、几何、计数、概率和数论。

• 团队轮包含20个简答题，学生可以与他们的团队一起解答这些问题。

• 接力轮包含20个跨数学各科目的问题，这一轮的关键特点是，一些问题可能依赖于前面一个或多个问题的答案。

四轮比赛中的三轮都需要以合作的形式完成，强调合作精神——五人一组的团队会围坐在一张桌子旁，分工合作，解决他们遇到的所有挑战。每一轮都会颁发奖项，并在最后根据所有轮次的综合表现评选出团队总奖。

我们上一次去参加BmMT是在2020年1月，当时现在的高三学生还在九年级。在这么长时间后，我很兴奋能带领学生参加线下比赛活动。我想在这里谈谈我们令人惊叹的中学数学俱乐部，大部分BmMT的参赛者都是俱乐部的成员。

在过去的两年里，每周五放学后，来自六至八年级的中学数学俱乐部成员会在我的教室里热情地解决挑战性问题，从高中导师那里学习有趣的主题。

在老师们（包括荆老师、龙老师、韩老师和Ms. Croker）的帮助和监督下，高中生Victor Yin、Benjie Yan和Yilan Ruan扮演了带领者和导师的角色，从数论到代数等多个主题，为俱乐部同学提供如何解决复杂数学问题的指导。他们举办解题会，和学生们一起解决挑战性的数学问题，为比赛做准备。这些不仅帮助了低年级的学生们，也让高中生们加强了自己对相关知识的理解，提高了他们的教学技能。

我们的中学数学俱乐部是一个“纵向整合”的例子，让不同年级的学生聚在一起学习和探索数学，低年级学生可以从高年级的学生那里学习，而通过教学，高年级学生也有机会加强知识理解和锻炼他们的领导力。数学俱乐部营造了一个支持性和包容性的环境，让所有的学生都愿意提问和分享他们的想法；数学俱乐部也创造了一个热爱数学、相互帮助的学生社团。

这是我第一次带学生参加数学比赛。见证他们的热情、友谊和智力成长，看到他们参与的快乐，让我感到了满满的成就感。

这次的比赛不仅仅是对技能的考验，更是对数学之美的庆祝。在数学的世界里，数字是这个世界的语言。而学生们不仅仅是参与者，还是“探险家”，扬帆航行在数学方程与证明的美妙版图之上。

这次的比赛也给我带来了更多的启发和可能性，在未来教学中，我们可以将这样的比赛形式引入到学校Pi Day活动中，以更好地帮助学生在学习中合作，拓宽知识面。

Gavin Zhao妈妈

终于等到BmMT线下赛的回归，孩子们体会到了与全北京，甚至外省市队伍一起比赛的盛况。在接孩子们回家的路上，听到他们不停地对题，有懊悔，有兴奋，比赛的激烈和有趣可见一斑。谢谢老师们带队，让孩子们有这么好的机会参与比赛。明年再见！

The Berkeley Math Tournament is a UC Berkeley student-led organization that aims to spread the joy of mathematics and the spirit of mathematical competition globally by presenting students with interesting, original, hand-crafted problems. Offered in the spring, the goal of the Berkeley mini-Math Tournament (BmMT) is to instill an appreciation for mathematics in teams of middle school students (up to grade 9) and to prepare them for future mathematical endeavors. After three years of online competition, we finally had the chance to meet and have fun with fellow math enthusiasts in-person!

BmMT China 2023 took place on May 27th and 28th in Beijing. Students from more than 60 schools all over China form teams of five to compete in four different rounds.

• The puzzle round is a team-based round that consists of a variety of mathematical challenges designed to promote inductive reasoning and lateral thinking. 

• The individual round consists of 20 short answer questions that span across the various subjects typically found in math competitions. This includes but is not limited to, algebra, geometry, counting, probability, and number theory. 

• The team round consists of 20 short answer questions. Students may work with their teams on these questions. 

• The relay round consists of 20 problems across various subjects in math. The key feature of this round is that some questions may depend on answers from one or multiple prior questions.

Three out of the four rounds emphasized collaborative work.  Teams of five gathered around the table to divide and conquer all the challenges they encountered. Prizes are awarded to each of the four rounds, together with an overall team prize based on the aggregated performance of all rounds.

The last time we went to BmMT was in January 2020, when current seniors were in 9th grade, right before Covid-19 hit. It’s exciting to lead students to take part in the in-person competition event after such a long time. The majority of the BmMT participants are members of the Middle School Math Club.  Simply amazing!

For the past two years, every Friday after school, the Middle School Math Club, with members from Grade 6 to Grade 8, gather in my classroom to enthusiastically work on challenging problems and learn interesting topics from their high school mentors.

Under the help and supervision of teachers (Ms. Jing, Mr. Long, Ms. Han, and Ms. Croker), high school students Victor Yin, Benjie Yan, and Yilan Ruan were the club leaders and mentors for the younger students. They have given multiple sessions on topics from number theory to algebra and provided guidance on how to approach complex problems. They have held problem-solving sessions where students work together to tackle challenging math problems and prepare for competitions. This not only helps the middle school students but also allows the high schoolers to reinforce their own understanding and improve their teaching skills.

Our Middle School Math Club is an example of vertical integration, in which students from different grade levels come together to learn and explore mathematics. This can be particularly beneficial because it allows younger students to learn from older ones, and it gives older students the opportunity to strengthen their knowledge by teaching others as well as developing their leadership skills. The math club fosters a supportive and inclusive environment where all students feel comfortable asking questions and sharing their ideas, creating a community of students who are passionate about math and eager to help each other succeed.

This is my first time ever taking students to math competition. Witnessing their enthusiasm, camaraderie, and intellectual growth, and seeing the joy they took in participating, was immensely gratifying. The air buzzed with excitement as students from different schools huddled around complex math problems, their faces alight with curiosity, resilience, and the thrill of unraveling intricate mathematical puzzles.

The competition was more than a test of skill – it was a celebration of the sheer beauty of math, a world in which numbers speak a language all their own. The students were not merely participants, they were explorers, navigating the fascinating landscape of equations and proofs.

The competition also provided an enlightening glimpse into the possibilities for organizing math competitions at our own school. The event was not just well-organized, but it was structured in a way that facilitated collaboration and intellectual exploration. Seeing the efficacy of this approach, I am now brimming with new ideas to implement in our future Pi Day.

Gavin Zhao’s mom

Finally the BmMT offline tournament returned, and the kids experienced the greatness of competing with teams from all over Beijing, and even from other provinces and cities. On the way to pick up the kids, I heard them keep pairing up the questions, with remorse and excitement, and the intensity and fun of the competition was evident. Thanks to the teachers for leading the team and giving the kids such a great opportunity to participate in the competition. Looking forward to next year‘s competitons!