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1c:T1821,こんにちは

僕自身は高1〜2のうちはなんとなく感覚で数学を解いており、範囲の狭い定期テストや基礎中心の間はなんとかなったのですが、高3になって演習や応用を始めてから、数学が周りよりできなくなってしまいました。

ですので、数学ができる人ではなくできない人からのアドバイスだと思ってください。

もちろん周りの数学のできる友人を見ていて気付いたこともお伝えしますが、数学できる人のアドバイスを求めていた場合はお役に立てないかもしれません。

申し訳ありません。


まず、数学のインプットの仕方ですが、これは質の高い例題を解いてその解説を読んだり受けたりして、さらにそれを復習して自分のものにするというのが良い形かなと思います。

質の高い例題というのは、参考書でも学校の授業でも塾などなんでも良いですが、各分野の典型的な問題をさしています。

これをまずは自力で解くのが大切です。

難しい問題は手も足も出ないかもしれませんが、自分の思考回路を知ることでインプットしやすくなると思います。

自分に何が足りないのか、逆にどこまでは理解しているのかをまずは知りましょう。

次に解説ですが、これに関しても参考書を読んでも他の人や先生にお願いしても良いですが、問題の解答ではなく、どういう思考でその解答に至ったかを特に見てください。

数学は暗記科目ではないと言われますが、ある程度定石があってそれを問題に当てはめ応用していくものなのかなと個人的には思っています。

その定石を解説を通じて自分でおさえてください。

僕は数学が苦手だったので定石を覚えてしまって、これは◯◯の問題だから◯通りの解法があって、今回はこれかな？というふうに解いていました。

もちろん、本来は例題の類題や同じ分野の問題をこなすことで定石を身につけると良いと思います。

高2のうちは特にいわゆる問題集をやったほうが良いです。

僕が数学が苦手だったのは高2までで全然問題集をやらず例題だけやっていたからでした。

例題と似た典型問題は解けるので、定期テストや簡単な模試は解けるのですが、高3になり実際の入試問題やちょっと捻った問題を解くとダメという感じでした。

そのため、高2のうちになるべく多く問題に触れておくと良いと思います。

高3になると余計に他の教科に力を入れなくてはいけなくなると思います。

そのためにもなるべく高2のうちに英数は完成させておきたいところです。

もちろん数学が苦手でしたら高3でもある程度力をいれる必要がありますが、たくさん問題を解けるのは高2までかなと思います。

少し話がそれましたが、問題集などの問題を解くときについて書きます。

問題を多くやる理由は見たことある問題を増やすという意味と定石をどう運用するかを身につけるという意味があります。

見たことある問題が増えれば、初見の問題に対してあの時の解法を試してみよう！と思える機会が増えるでしょう。

また、問題演習をこなす中でインプットした定石を自分のものにできると良いと思います。

次に、苦手意識に関して。

これについては成功体験を積むのが一番かなと思います。

といってもなかなか難しいですよね。

僕が問題演習をサボっていたのはどうせ解けないだろという気持ちがあったからでした。

でも今思えば、数学が苦手なのだから一周目でできるなんて思ったのがだめでした。

結局入試で解ければ良いのだから一周目で解けなくても、二周三周してでも自力で解き切れば良かったとお思います。

そうすれば自分の力にもなるし、何より解ける問題が多くなれば数学への苦手意識も改善したと思います。

中々すぐには数学への気持ちは変わらないと思いますが、好きこそものの上手なれ、ということでやっぱり数学を好きになるのが成績upの近道だと思います。

理科社会のように暗記した知識ベースではなく、定石という武器をどう使うのかという思考力が試される数学は、難しいですがそこが面白みなのではないでしょうか。(数学苦手だった僕がいうのも変ですが)

中々短期で成績upは難しいかもしれません。。

でもやっていけば必ず伸びる科目ではあります。

ぜひ腐らずに続けていってもらえたらと思います。

緊張で他の教科に影響してしまうことに関しては、もう少し自分に(というか数学に)甘くても良いかなと思います。

数学は苦手なんだからと割り切って、他の科目よりは緩いペースで実力をげていけば良いのではないでしょうか。

高3になってもそうだと思いますが、自分のたてた計画というのは中々完璧には遂行されないものです。

特に苦手科目は後回しにしたり、他教科よりも計画と違ったりすると思います。

もちろん自分を律するのも大切ですが、それで思い詰めてしまうのは他教科にとっても悪影響です。

数学に関してはある程度ゆるい計画を立て、むしろ息抜き的に他教科をやっても良いかもしれません。



めちゃくちゃ長文になってしまいましたが、参考になったら嬉しいです。

また分からないことや疑問点あれば気軽にコメント・質問してください。

では。

1d:Tc91,私も数学が苦手な人間でした。

そういう意味でこんな問題解けるようになるのか？と不安になった記憶があります。


数学や英語は成績が上がるまでに時間がかかる科目です。

基礎を積み上げて盤石にし、その上で標準レベルの問題(模試や入試等でよく出てくる典型的な問題)を解けるようにしていく必要があります。その訓練がある程度形になると、おそらく数学への苦手意識は解消されると思いますので、このレベルまで持ち上げられるように努力しましょう。


基礎を固めることに置いては、まずは教科書の例題を参考にどういった動きをしているのか、何をしようとしているのかを1つ1つ丁寧に追って理解します。

その上で、同じレベルの練習問題などを、上で理解したことを参考にしながら自力で答えに持っていくことができるか試します。教科書の練習問題や参考書に載っているようなその単元におけるごく簡単な問題をまずはスラスラ解けるように何度も繰り返してください。


その後、上で理解した知識を駆使した基礎を少し発展させたような問題を解く練習をします。


ここまでできて、基礎は完成です。


続いて、標準問題です。
入試までに発展レベルを解けるようにならなくては！と焦る受験生は多くいますが、本質は違います。

案外、この標準レベルの問題がきちんと解けるか否かで変わってくるものです。

いろいろな参考書や模試、本番の入試でよく見る問題が多いために軽視されがちですが、ここをきちんと満点もらえる答案を作れるか、これが合否を左右するといっても過言ではありません。



では、それはどの問題か？と聞かれると表現しにくいですがおそらく参考書では「標準」とか「★★(発展問題が★★★だった場合)」みたいな表現をされていると思います。教科書で言えば、章末問題の後半にあるような問題です。


このレベルの問題は、与えられた条件から基礎で理解した知識を使って、分かっていること(条件から言えること)を書き出します。

その上で、基礎で演習したような動きを繰り返して解いたり、他の単元の知識を使って解法を編み出していくことになります。


はじめは動けないと思うので、解答を見ながらでも構いません。問題から与えられた条件をどのように読み取り、それをどのように噛み砕いていくのか、その動きを追って何をしているのかを理解してください。



その理解が済んだら、自分できちんとノートに記述して実際に答案を作ってみてください。


この繰り返しです。



数学が苦手ですと、勉強するのも嫌になってくると思います。それでも、諦めずに1つ1つ丁寧にこなしていってくださいね！

2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=D-TW6GcBTqPwDZPut1TO","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学の応用問題を解くと、、、"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",4,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"12/26 13:47"}]]}],["$","div",null,{"className":"coach-mark 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学が伸びない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"<応用問題を解く際の心得>\nこんにちは。東大理一の者です。\n一読したところ、おそらく基礎は十分に固まっていると思いました。質問者様の言うように、基本的には「応用問題の演習量を増やす」で良いと思います。\n\n応用問題の演習にあたって、留意すべき点がいくつかありますのであげていきます。\n\n① 時間を意識する。\n特に初見の問題を解く時は、本番の試験を意識しましょう。解けたか解けなかったかではなく、○分でどこまで解けるかで自分の実力を測ってください。また、「決めた時間に対して、○分で解ききれなくてもできるだけ点が取れるような解答を作ること」を意識しましょう。\n\n②本質を見抜く。\n応用問題をやっていると、「こんなのひらめかないよ！」という問題に出会うことがあります。結論から言うと、ひらめくようになる必要があります。(一部の超難問を除く。)無理だと解説を投げ出すのではなく、どういう発想なのか、どこから連想したのか、なにからヒントを得れば解けたのか、一度考えてみましょう。\n一見違うような問題でも、同じような発想で解いている場合が多くあります。注意深く演習を重ねることが大切です。\n\n③定期的に初見の問題を解く。\n受験のテクニック(?)として、一つのワークを完璧に仕上げるというものをよく聞きます。これは基礎を固める上では非常に大事で、的を得ていますが、応用力を高めるためには適しません。①と少し重なりますが、初見の問題を解ききる練習がとても大切です。\n数学に苦手意識のある人はこれを怠りがちなので、気をつけてください。\n\n\n頑張ってください。応援しています。"}],["$","div",null,{"className":"flex 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mb-1","children":"慶應経済のものです。\n自分も数学受験ですのでお答えさせていただきますね。\n\nさていきなりですが、問題を解くときどのように解いていますか？もし、解く→答えを見る→採点する。これだけで終わっているなら伸びるわけがありません。『高校数学は暗記だ』などと言ってる人をたまに見かけますが、基本的に数学は理論です。解くだけではなく理解して初めて身につく力となる学問です。ですから解いて答えを見て採点した後に、じっくりと解説を読んでください。そしてじっくりと読んだ後、解説を見ずにもう一度問題を解いて、解説の解き方を再現できるようにしてください。この一手間を加えるだけでかなり理解度が変わってきます。\n\nそんなのもうやってる！って場合は、焦らないでください。もしこのやり方がきちんと出来ているならば身につかないはずがありません。それはただ問題の練習量がちょっと足りないだけです。でも今の時期からやれば必ず間に合います。だからこそ焦らないでください。精神的な話になってしまいますが、自分はできる、と思い続けることはかなり重要です。もしすぐに点が伸びなくて悩んでしまっても、『きちんとしたやり方でやってるから大丈夫。もう少し頑張れば必ず点は伸びる』と自分を信じてください。焦りや不安は自己嫌悪につながり大変よろしくないです。是非自分を信じてあげてください。\n\n最後に具体的なことになりますが、夏休みには一度自分の志望校の過去問を見ておくといいと思います。自分と志望校の距離が掴めますし、練習とは違った生の問題、本当の試験としての問題を見ておくことは今後の勉強のモチベーションに関しても学力向上に関しても重要です。また、志望校が早慶であるならば、日東駒専あたりの同じ学部、あるいは問題の出題範囲が似ている大学の過去問を解いて行くといいです。難易度が下がりますので志望校よりも簡単に解けるはずです。是非とも頑張ってください。\n\n心から応援しています"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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