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1b:Tc25,まずはどの科目にも言えることですが、基礎をしっかり理解し、解けるようにしてください。

基本問題を解き、わからないところは教科書や参考書に立ち返り復習する癖をつけましょう。
そして解法パターンを身につければ、応用問題も怖くありません。

数学はとにかく問題を解けばいい、と思っていませんか？
実はわたしもそう思っていました。
なので理論もわからず、とにかく問題集（私は青チャートを使っていました）を解き、間違える日々。

しかしこの勉強法は間違っている、と浪人してからやっと気付きました。

数学には定型パターンがあります。
高校数学を難しく感じるのは、そのパターンが非常に多いためです。
なので、まずはお決まりのパターンをしっかり覚えるようにしてください。

こういう問題がきたら、この公式だな、ってすぐに思いつくレベルまでもっていくのです。

以下、具体的な方法です。

私は青チャートを使っていたので、青チャートをイメージしてお答えしますが、ご自身の使っている問題集に置き換えて参考にしてみてください。

1.まずは一通り例題を解き、公式の使いどころを覚える。（基本問題）
→数学には解法パターンがあります。こういう問題が来たら、こういう方法で解く、というのが反射的にわかる、身につく、というところまでもっていきます。
この時、公式がわからない、理解できないときは教科書を開いて理解するようにしましょう。

2.例題の下にある問題を解く（標準問題）
→わからなくてもすぐに答えなどみずに、10分は考えるようにしましょう。この時色々な公式や解法が頭に浮かべば、知識は身についている証拠です。
逆に標準問題で手も足も出ないなら、教科書に立ち返りましょう。
ここまでできれば、定期テストや模試である程度の得点は見込めます。（青チャートなら国立大やマーチレベル）

3.章末問題を解く（応用、発展問題）
→数学を得点源にしたい人、難関国立大や早慶を狙う人は最終的に解けるようにしましょう。
このレベルだとさまざまな公式を合わせて使う、複合タイプの問題になります。
この問題をやるときは、「自分がどこまでわかっていて、どこからがわからないのか」をしっかり把握するようにしてください。復習するときはできないところの例題などを見返し、できるようにしましょう。
これが解ければ模試の大問もほぼ完投できます。


このように、大事なことはとにかく、
理論を理解する
ことです。
闇雲にやって量をこなすのではなく、丁寧に時間をかけて勉強してください。
1c:T102d,初めまして。rockyyyと申します。
数学の勉強法において、最も重要なことは解法を見ながら理解することであると思っています。一度間違えた問題の解法を完全に理解しないままにしておくと、同じ問題に何度向き合っても解けないままです。なので解けなかった問題に関しては、解説をよく読み、理解することを重要視すると良いと思います。

具体的にどのようなことをすればいいのかというと、僕は解説を最初から最後まで逐一理解しながら読み進めていくことが良いと思います。

例えば、
「ここで、次のように式変形する。」と言ったような文言が出てきた場合、「なんかわからんけど、そう式変形するのね」と考えるのではなく、「なんのためにその式変形をするのか。その式変形でなんの得があるのか」ということを考えるということです。そうすると、「この式変形をすることで、このような操作が可能になるのか！」とか「こう式変形することでこの法則が使えるようになるんだ!」などの発見があるのではないかと思います。それを繰り返して、その問題の解法を完全に理解すると、その問題に対してだけでなく、似たような問題にも同時に対応できるようになると思います。「ここで、この法則を使いたいから、前学んだみたいにこうすることで・・」と言ったような感じで対応できてくるのではないかと思います。僕はそうして学んだ知識をノートに書き留めておき、チラチラ日常的にみるようなことをしていました。

そうすると、実際に数学において、未知の問題(自分が解いたことのない問題)に対しても、その問題を解くための様々な手法を思いつくようになり、それを使って解くことができるようになりました。成績も伸びて、数学がより楽しく、そして勉強が楽しくなったことを覚えています。

なので、数学の問題を解くことにおいて大事なことは、最初は解けなくても良いので解法を読んで、「こうすることでこの解法が使えるのか」ということや「こうすることでこの公式が使えるのか」となることが重要です。それを自分の言葉でノートなどにまとめておくとさらに良いと思います。僕は問題を解いてわからなかったため空いた空白に色ペンで「このようにすることで、この公式を使って問題が解ける」と言ったようなことを書いていました。そして今でもその手法で数学を勉強しています。

そして、話が変わりますが数学において慣れというものも僕は大事であると思っています。ある程度の知識(基本問題を一通り解くなど)を得た場合は、問題集などでひたすら演習を積んで、解説を読んでわからなかった問題に対する解法を学んで自分の言葉でインプットするということを繰り返すと良いのではないかと思います。そうすることで、この「問題見たことある!]となって、自然に解法が浮かんでくるようになると思います。そうなっていくとどんどん問題が解けるようになってくるので、数学が楽しくなり、また勉強するという好循環を引き起こしてくれると思います。

そして、理系においては数学に比重が大きい入試がほとんどなので、入試において優位に立てるようになると思います。最初の方は、まだ知識も足りていないかもしれないので全然解けないかもしれませんが、辛抱強くこうした勉強法を続けていくと、自然に解けるようになってくると思います。良ければ参考にしてください！！受験応援しています！2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=1q7YSVjhUaEqeVybWJiE","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"答え見てもわからない問題"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",0,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"9/9 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mb-4","children":[["$","div","advice-part-0",{"children":[null,"こんにちは！東工大理学院のひろと申します！\n\n数学で、答えを見ても分からない問題がある時の対処法をお伝えしようと思います！\n\nまず、教科書に載っている基本事項が抜けていないか確認しましょう。大抵の問題は基本事項を抑えることが出来ていれば、解説を読めば理解出来るはずです！それでも分からないという場合は数学の先生に聞くなどして解決しましょう。その際も、ここまでは理解できたが、その先が分からないという聞き方をするとスムーズで仕事が早いでしょう。\n\nでは、教科書に載っている基本事項を抑えるとはどういうことなのかをお伝えします。まず、大切なのは公式を一通りマスターすることです。もちろん公式の丸暗記はよくありません。なぜその公式が導かれるのかを自分で説明できるようになって初めてその公式をマスターできたと言えるでしょう。実際に僕は公式は無理に暗記せず、なんとなくで覚えて全て導出できるようにしていました。あとは、問題を解いていく中で自然に使えるようになります。覚えようとして覚えるのではなく、使っていくうちに覚えるのが効率が良いと思います。また、公式をマスターした後に解く問題は教科書の例題程度で構いません。教科書の例題は舐められがちですが、重要な例題が沢山載っているのでしっかりマスターしましょう。その後は、教科書の章末問題、網羅系参考書といった順番で進めていくと良いでしょう。僕は網羅系参考書でFocusGoldを使っていました。この流れで進めていけば大抵の問題で解説を理解することは可能だと思います。(初見で解けなくても)\n大切なのは、丸暗記しないことです。数学は暗記科目ではありません。必ず思考のプロセスがあります。それをおろそかにするといつか難しい問題に当たった時に行き詰まります。そうならないように、日頃から思考のプロセスを意識して数学の勉強をしてください。思考のプロセスとは、何故そのような変形をするのか、何故その公式を使うのかなどのことです。これを説明できるようになると、数学の力がどんどん上がっていくでしょう。\n\n最後に、何故そうなるのかを意識しながら数学の勉強を進めてください。分からないことがあれば基本事項に立ち返って、周りの人に頼りながら頑張ってください！良い結果が出ることを心から祈ってます！！"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_Bo7xvPlkNJYd5i3fUsLzctuASy13.jpg?alt=media&token=ff04688d-687b-4b88-a4cf-c91076e345f1","adviserName":"ひろ","adviserDepartment":"東京工業大学理学院","adviceId":"1q7YSVjhUaEqeVybWJiE","numberOfFan":1,"clipsAvg":1.3333333333333333,"adviceRateAvg":5,"profile":""}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学における｢問題の本質の理解｣とは何か"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！勉強お疲れ様です🍹\n\n自分も受験期に数学はどう勉強すればいいのか悩んでいて、先生や友達に聞いたりして最終的にある勉強方法に辿り着いたので参考になればと思い回答させていただきます！\n\n質問者さんは文系とのことですので社会は勉強していると思いますが、覚えればできるようになる社会とは違って、数学は例題や公式を暗記しただけでは入試問題には太刀打ちできないし、実際自分がどのくらい成長したのかわかりにくいですよね。\n\n⭐️数学の勉強で一番大事なのは、「なぜ？どうして？」という疑問を常に持ち続けることです。\n\n難関大学の数学に取り組む時、パッと見どう解くのかわかりにくいけど解答を見るとこんなにキレイに解けるんだ、っていうパターンが結構あると思います。\nここで回答をうのみにしてしまうのは良くないです。そうすると他の問題になった時に応用できなくなってしまいます。大事なのは、どうしてこの解き方に辿り着いたのか、ということです。\n・勉強方法についてのアドバイス\n「問題の本質を理解する」とは、解法を表面的に覚えるのではなく、「なぜその解法が有効なのか」を理解することです。基礎問題を丁寧に演習し、各解法のメリット・デメリットを分析することで、応用問題において状況に応じた最適な解法を選べるようになります。解いた問題を見直す際に「別解はないか？」「他の解法では何が不都合か？」と問いかける習慣をつけると、理解が一層深まります。\n\n・追伸\n来年に入って過去問を解く時、じっくり時間をかけて解いてみることをオススメします。一応時間配分に従った時間は計りつつも、それを超過してもいいから自分なりの解き方で解いてみることです。解答と見比べて良かった点、足りなかった点等実際に手を動かしてやってみるとただ解答を見て理解するだけの何倍も得るものがあると思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学における｢問題の本質の理解｣とは何か"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！数学の本質理解についてですね！\n文系ではありますが、数学は得意だったので私の考えを描こうと思います。\n\n数学の本質を理解しろ！何ていろんな人が言いますが、はっきりいって良く分からないですよね。私も確かに解法丸暗記はよくないしなぁ…なんて思いつつ勉強してました。\n\nしかし、ある時ふと本質を理解しろとはどういう意味か考えたときに思い当たったことがあります。\nそれは、本質を理解できているかは、その問題を何も見ず他人に説明できるかどうかではないかということです。\n\n本質って言ったって、数学者じゃないので全てが分かるわけでもない。でも、テストの問題は解かなきゃいけないと考えたときに、どこに基準を置くかと言うことだと思います。私の結論は先ほど述べたように、1から大筋を説明できるようになることになりました。\n\n受験数学において、最も必要とされる水準は東大をはじめとした大学な記述式ですから、他人に説明できるようになればどんな問題も対応可能なはずです。\nですから、数学の学習で1から大筋を説明しようと思ったとき、詰まってしまうとこが理解できていない所なんだと思います。\n\n普段の学習からなぜ？？どうして？？を大事にしていくと良いのではないでしょうか。そうやって突き詰めることが数強への道だと思います！\n\n他に質問ありましたらお寄せください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学公式"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"\n文系ですが答えさせてもらいます。（数学は使ってました）\n\n今でもそうなんですが、公式の仕組みが納得できないと個人的には気持ち悪くてしょうがないんですよね。\nどうしてこの公式になるかを納得する\n→公式を暗記\n→実際に公式を使って、使用方法と公式を頭に定着させる\n\nこんな感じですかね。\n理由としては、1番はそうじゃないと気持ち悪いっていうのがあるんですが、、、笑笑\nでも、実際問題、公式の導出を問われたりする問題ありますし、また、公式の仕組みが分かってないと解けないような問題も一定数あります。\n特に、三角関数・微積分・シグマ計算あたりの公式は導出過程を理解できてると、数学的な思考力の幅が広がるイメージあります。\nもちろん、導出過程を知らなくていいのもあります。でも、一回は導出にチャレンジしてみるといいです。それで、「あー、これは公式だけ覚えておけばいい感じかな？」みたいなやつもたくさんあります。導出過程がめんどくさかったりするから、わざわざ公式にされているんで、それを覚えてしまうこと自体悪いことではないです。\n\n公式の結果だけを覚えておくパターンのやつは、とくに物理・化学に多い印象ですね。「実験の結果、こうなった」とか、「この公式を定義とする」みたいのは、理科系では多いです。そういうのは、あまりこだわらず、一回くらい説明書き読む程度でいいと思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"理解して覚えたはずの解法が何ヶ月か経つと忘れる"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんばんは。数学の勉強法の大事なところを、僕なりに説明します。\n典型的な数学がなかなかできるようにならない人は、「分からなくなったら、すぐに答えを見る」人です。もちろん、1問に1日かけろとは言いませんが、例えば、初見ではない問題では限界まで自分で考えるようにしてください。解けたときに正攻法じゃなくても、いいんです。答え合わせの時に、ああこんなやり方があるのかと思い直すことで、記憶に強く残ります。もちろん見たことない問題や新しい単元では、解法を見て勉強することは大事です。ただ、その後の演習で、まだやったばかりだから答え見よ、ではなくこんな感じだったかなーと試行錯誤して、自分なりに頑張って見ることが大事です。\n\n数学で答えを見れば、普通はあぁーって納得するけど、それはほんとに理解したのではなくて、理解した「ように」思ってるだけなんだ。数学の応用ができるようになるには、「できる限り自分で最初は考えてみる」これが1番大事！\n\n頑張ってね！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 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