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1b:T107e,教科書の例題レベルでも怪しいものがあるのでしょうか？
その場合、まずそこからです。とにかく、こういう時は基本で落としているところがないかを考えます。
典型問題が解けないのであれば、教科書で自分が理解できていないところを解決します。
基本公式の証明、例題の解答を自力でやりきる、この二つは答えも載っているので教科書一冊でやれるはずです。
典型問題が解けるようになったら、問題集でとにかく演習を積みます。
私は学校で配られた青チャートを使っていたので、それの使い方をイメージして説明します。どの問題集でも、大体やり方は同じです。
まず、基本レベルを解きます。わからなければ、方針が載っていることも多いのでそれをみて解いてみる、それでもわからなければ答えを見る、という順番です。最終的に何もみずに解き切れるようにすることが大事です。
基本レベルは何周かできるといいと思います。
次に、発展、演習レベルです。
基本的には基本問題と同じように段階的に解いて行って欲しいのですが、ここまでくると、問題文を読んでも全くわからない、ということも多々あります。分野にもよりますがその場合、方針を見てしまう前にまず手を動かしてみてください。試行の説明がされているなら、その試行を図式化してみる、グラフ上のどこにどんな点があるのか説明されているのならまずそれを書いて視覚的に捉えてみる。これをすぐやるかどうかで、結構ひらめき度合いが変わります。それから、知っている問題が出ると思ってはいけません。だいたい国立大学の数学は、知っている典型問題だと思ってとびつくと失敗するようにつくられています。その場でどうやって答えを出すかが大事であって、あくまで典型問題はその部分部分でつかう道具にすぎません。
これを肝に銘じてください。
とはいえ、これらは流石に三年生には時間が足りませんよね。だから、不安な分野を中心にやっていくことで伸ばしていってください。設問ごとの偏差値なども模試に出てるはずなので、その中で1番伸び代のあるところからやっていくのが効率的です。どんな人も、基本的に全てを完璧にはできないものですので、他の分野だってまだまだだ、どの分野も完璧にはならない、と思うのではなく、とにかく底上げを頑張って自分の数学力全体のバランスを取るように勉強していきましょう。
これから受験に本格的に入る中で覚えていて欲しいことが、基本に戻るのに遅いことはないということです。一月だろうが二月だろうが、わからないことがあれば戻って振り返ってみた方がいいのでそれは忘れないください。

ちなみに、模試ですが、問題の解き方にもコツがあったりします。
例えば、第一問1番から解いて行って、3番までやったら次に第二問、第三問、、といくのではなく、第一問の1番を解く、2番を解く、次に第二問にうつって1番を解く、2番も目を通して解けそうなら解く、解けなさそうなら第三問に移る、というように、どの大問にも目を通した上で1番をさらっていくように解いていくと、記述なら部分点だけでも入りますし、点数が全体として入りやすいんです。
時間配分を決めて解いてみましょう。模試や大学によって解き方や時間配分にコツがあるので、もし何か気になることあればコメント欄で細かく聞いてください。もちろん共テも時間配分にコツがあります。質問者さん以外の方でも大歓迎です。みんなで情報共有しましょう！
頑張ってください。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！

1e:Tf6b,初めまして。

東北大学理学部のゆーすけです。
数学科として、数学のアドバイスをさせていただきます。

まず、数学は2次試験に標準を合わせるべきです。
横国を志望校に決めているのであれば、基礎問題精巧だけでは足りません。標準問題精巧などが必要です。

あなたは数学が短期記憶になっていませんか。
どの参考書でも、一周しただけでは覚えられないと思います。そこで、おすすめの勉強方法があります。
付箋勉強やシール勉強です。
この勉強法は「東北大学現役合格するには」で紹介しているのでそれを見てみてください。
二周三周してやっと知識は定着していきます。

模試について。
あなたは模試をどのような位置づけで活用していますか。点数と偏差値で一喜一憂して模試直しを忘れていませんか。
模試を有効に使えるかどうかに模試直しのレベルの高さが関わってきます。模試直しでは大問ごとに何が出来なかったか、できてる気がしていた問題を見ていくべきです。
見つけた苦手は土日や長期休みの時間がまとまって取れる時期に徹底的に潰していきましょう。

数学は入試で点差がつく大事な教科です。
苦手は早いうちに潰してしまいましょう。

また、2次試験の傾向を知ることが大事です。
数Ⅲがたくさん出ているようなら数Ⅲを進めないと効率が悪いです。数Ⅲの問題は特に教科書の問題レベルと比にならないくらい難しいです。
数Ⅲの全範囲を授業で終わらせていないならなおさらやった方がいいです。軽い予習でいいので、教科書レベルの問題を解けるようにしておきましょう。

2次試験の問題が解ければ共テは取れるので、共テ対策はまだしなくて大丈夫です。
特にⅡBはパターン化されているから共テの問題に慣れればそのうち点数は上がっていきます。数学は2次対策を重点において勉強していきましょう。

そこで今はもう少し難しめの問題(標準問題精巧や青チャートなど)を解くべきです。わからなかったら基礎問題精巧に戻りましょう。
全統は技術力が試されるので単に解法暗記では解けません。
だから初見の問題に当たったときにどうやってアプローチしていくのかっていう力を鍛えていくべきです。

また、模試直しが大事です。
どこで引っかかったのか、どういうアプローチで解いてるのかを模範解答で確認しましょう。
その後類題を基礎問題精巧などで探して解いてみましょう。文章題で書かれ方が違ってても必ず類題はあるはずてす。

大事なのは初見の問題文をどうやって自分の知っている形まで簡単に出来るかです。
その力を模試直しで養えてみてください。

その後標準問題精巧などで少し難しめの問題を解いた時に正しくアプローチできるか確認しましょう。
できなければまた基礎に戻ります。

まとめると、
いきなり標問で力試し→できなかったら基礎問に戻る
また、模試をやったら
模試直しで苦手を発見→基礎問で類題確認→標問で力試し
その繰り返しですね。

模試は自分の到達レベルを図るための最高のツールです。
初見の問題に当たったときにどうアプローチできるか。
その解法が見つかった時の開放感、ぜひ味わってみてほしいです。

受験まで続くであろう模試が、あなたにとって有意義なものとなりますように。

応援してます。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=dzJjP20BTqPwDZPup19E","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学の勉強法がわからない"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",15,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"9/17 22:22"}]]}],["$","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":"文系数学が苦手で困っています😭"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"応用ができないということは、恐らく本当の意味で基本ができていないということです。見たことのないような問題でも基本事項の積み重ねでできています。ですのでまずは、教科書の例題や章末問題を徹底的に復習しましょう。基礎の復習が終わり、完璧になったら青チャートを使うのがおすすめです。これのレベル3-4くらいまでの問題を難なく解けるようになると、旧帝大合格が見えてきます。そもそも実は、文系に求められている数学のレベルは旧帝大といえどもそこまで高くはありません。もし苦手なら基本から標準的な\n問題(青チャートのレベル3-4)を完答できるくらいの力をつければ、他の教科でそれなりにとれば、合格水準に達することができます。入試の現場で1番差がつくのも標準的な問題だと思います。極端な難問は皆ができないため、差がつきません。つまりそこで合否は決まりません。色々書いてきましてが、まず、教科書の理解を完璧にして、そのあと青チャートで典型問題、標準問題に慣れ、過去問に入っていくという流れで良いと思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学助けて"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"数学の基礎からの勉強ですね。まだまだ時間はあるので、高みを目指しつつも自分のレベルに合ったものを1つずつ消化していきましょう。\n\n\n元々私も進研模試で偏差値50を下回っていたので、参考書ルートはかなり参考になるかなと思います。\n\n\n\nまず始めに、学校指定の教科書とワークから始めていきます。\n教科書の全ての練習問題と章末問題を解いてみて下さい。巻末に答えはあると思いますが、解法は書かれていないものも多いです。可能であれば自分で解法まで友達や先生からの助けももらいながら確認し、それでもわからなければ先生に直接聞きにいきましょう。\n\n\n次に、学校の指定ワークの基礎問題、標準問題のみを解きましょう。ワークであれば解説もあるかと思いますので、1人で勉強は進められるかと思います。\n\n\n\nここまでで大切なのは、分野を絞らず全ての問題をやり切ることです。\n\n\n基礎が抜けていれば応用問題は解けませんし、共通テスト利用者であれば、出題されない範囲はありません。\n短期間で基礎を復習することで、数学の偏差値は一気に上がることも見込めますし、何より、苦手意識が払拭されます。1ヶ月半、長くても2ヶ月で終わらせましょう。\n\n\n\nそれが終われば、ワークの練習問題や応用問題に触れていきましょう。とは言え、レベル的にはチャート式よりも簡単なものが多く、記述系の模試よりと同等かそれよりは簡単な問題が多いかと思います。\nこれに1〜1ヶ月半かかるかと思います。\n\n今から勉強を始めれば、これで3年の6月前くらいでしょうか。\nそれなりに自信がついてくれば、黄色チャートや青チャート(星3まで)を扱ってみて下さい。次第に応用問題が解けるようになってきているかと思います。\n\n\n夏休みに入れば共通テストの過去問や予想問題を5〜8年分くらいは解きたいですね。\n\n\n\n基礎から応用への繋げ方は、上記の通り、\n基礎8割　基礎と応用の間の問題2割\nの力感で自習することで次第に解けるようになっていきます。参考書にもこだわる必要はありません。学校の偏差値に関わらず指定のワークをやり、それでも夏までに時間があればチャート式に触れれば良いのです。\n\n\n\n参考になれば幸いです！\n"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の参考書選び"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"進研模試の数学は9割取れました。\n東北大と早稲田は2次数学で受かりました。\nそんな僕も最初は数学が大の苦手でした。\nアドバイスさせて頂きます。\n\n数学は共テしか使わないと分かっているなら、教科書など→共テ対策の数学の問題集の順でやってはいかがでしょうか。\n8割までは取れると思います。\n青チャや基礎問は、記述試験向けなので、遠回りになると思います。\n\n前提として、伝えたいことがあります。\n受験数学は感覚ゲーだと世間で思われていますが、これは誤りです。\n実際は、パターンを暗記するゲームなのです。\n本当に受験数学は暗記なんです。\nHow are you?と聞かれたら、\nI’m fine thank you.と答えるように、\n最小値は？と聞かれたら\n二次関数にして平方完成。と答えるんです。\n\nまず最初に、教科書などから始める理由を説明します。\nそれは数学でよくやるパターンを覚えるためです。あと公式も。\nこれがいわゆる基礎ですね。\n数学IAなら\n先ほど話した、平方完成や方べきの定理など\nIIBCなら、解と係数の関係や内積の計算など、がよく使うパターンです。\nこれらをまずは、どんな場面で使うのか覚えましょう！\n\n次に、共テ対策の問題集をやる理由を説明しますね。\n理由は、1番近道だからです。\n記述系の問題は全然解けなくて構いません。\n共テの誘導ありありの中で7割取れたら万歳です。\n\nこちらでは、教科書などで覚えたよく使うパターンを、実際に使ってみる練習をします。\n自分で、この時はアレを使うんだ、と気づけるようになる練習です。\n\n共通テストの数学で覚えるべきパターン(解法)はあまり多くありません。\n今の時期から数学に取り掛かれば、間に合うと思いますよ。\n\nあと、各大門の最後の方の問題は解けなくて構いません。解き直しもしなくて大丈夫です。捨てちゃってください。\n\nとはいえ、数学はなかなか伸びてるか分かりづらい科目ですよね。問題との相性もありますし。\nそんな時に良い方法があります。\nそれは、大問ごとに勉強する方法です。\n一つ一つ7割出来るようになっていくイメージです。\nすると、手応えを掴みつつ勉強できるので、しんどくないと思いますよ。\n\n応援してます！\n気になったことはコメントで教えてください。"}],["$","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 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